Final answer:
The correct medical recording for a 32-year-old woman pregnant for the third time, with one living child and one abortion, is 'gravida III, para I'.
Step-by-step explanation:
The nurse would record: gravida III, para I. Gravida refers to the number of times a woman has been pregnant, which in this case is three times (two previous pregnancies and the current one). 'Para' refers to the number of pregnancies that have led to a potentially viable offspring, which is one (the living child). Abortion does not contribute to parity unless it occurs after the period of viability. Therefore, the description gravida III, para I is accurate.