Finding the Third Proportional to 27,696 and 31,792

Step by Step Solution

1. Step 1: Write the proportion equation
   27,696 : 31,792 = 31,792 : x
2. Step 2: Convert to fraction form
   27,696/31,792 = 31,792/x
3. Step 3: Cross multiply
   27,696x = 31,792 × 31,792
4. Step 4: Simplify right side
   27,696x = 1,010,731,264
5. Step 5: Solve for x
   x = 1,010,731,264/27,696
6. Step 6: Final answer
   x = 36,493.76