Carreño Busta, 26, of Spain, had been the lowest seed remaining in the bottom half of the draw since the fourth round, owing to a combination of withdrawals from injury and upsets.
Continue reading the main story Several other star players, including Novak Djokovic, Stan Wawrinka, Kei Nishikori and Milos Raonic, did not compete because of injuries, and Anderson and Carreño Busta took advantage.
Kevin Curren was the last South African finalist in any Grand Slam event; he reached the Australian Open final in 1984, losing to Mats Wilander.
The newest South African finalist raised his arms, took off his white cap and then climbed into his team box to celebrate in a fashion usually reserved for the championship round.
Correction: September 8, 2017 An earlier version of this article misidentified the last South African man to reach a Grand Slam final before Kevin Anderson.
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