In the third test, the pitch was very treacherous which prompted english captain to declare even they were in deficit. Bradman did not have this choice of not batting, but he did have a choice about deciding the batting order, and he inverted the batting order. Australia were again 90 odd for 5 and then went on to score some 550 odd runs (Bradman - 270). Australia won the test match, and later on, the series and it will not be an overstatement to say that this was "the greatest comeback" in history of cricket.
Details of the match can be found on cricinfo.