Brief scores: Australia (231) beat South Africa (224/9) by 7 runs to level 3-match series 1-1.
South Africa's top order made a lot of the same errors in execution as Australia's had earlier in the day, as well as coming up with a few of their own.
Quinton de Kock, Aiden Markram, Heinrich Klaasen and Dwaine Pretorius were all guilty of gifting their wickets to the Australians, three of them with poor shots, and in Markram's case, another awful piece of running which saw him short of his ground after he'd made 19.
Du Plessis and Miller were doing a commendable job of absorbing the pressure placed upon them when - against the run of play - du Plessis chopped a short ball from Pat Cummins onto his own stumps to fall for 47. South Africa had won the first match of the series by 6 wickets at Perth earlier this week.
The South Africans slipped to 4-68 inside 15 overs before David Miller (51 from 71 balls) and captain Faf du Plessis rallied.
Australia have named a 13-member squad for the upcoming Twenty20 Internationals against South Africa and India without the experienced trio of Mitchell Starc, Mitchell Marsh and Nathan Lyon.
There will be plenty of introspection in the South African camp in the next 48 hours as the players contemplate a series of soft dismissals which handed an Australian side lacking confidence a much-needed win.
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Georgia moved up a spot to No. 5, putting it just outside the coveted top four spots for teams that will play in the semifinals. The problem is, they'll have to do it two times over to claim their 12th Big 12 title and fourth consecutive conference crown.
That soon became 8 for 187 when Stoinis trapped Miller in front for 51, a review overturning Umpire Michael Gough's original not out decision. Australia finally pulled ahead of South Africa as the visitors' tail briefly wagged but never really threatened to overturn their total as Aaron Finch expertly marshaled his bowling resources.
Three batsmen, captain Aaron Finch, Chris Lynn and Alex Carey, got past 40, but one of Finch or Lynn should have gone on to make something more substantial.
Finch built a composed 41 before he was deceived by a Dwaine Pretorius delivery.
Australia's innings slowed as Imran Tahir tied Lynn and Carey down with a tight, wicket-to-wicket line, and with singles hard to come by, Lynn banked on his boundary-hitting ability to keep the score ticking over.
The procession continued as Glenn Maxwell flashed a cut off Pretorius through to de Kock, Stoinis heaved across the line to present Hendricks with a stinging chance at midwicket, and Cummins and Starc were both beaten for pace by Steyn.
He and Finch knocked up a 50 partnership before Marsh, on 22, got a thick edge off Rabada and wicketkeeper Quinton de Kock easily took the catch.