Finding the Third Proportional to 31,304 and 40,638

Step by Step Solution

1. Step 1: Write the proportion equation
   31,304 : 40,638 = 40,638 : x
2. Step 2: Convert to fraction form
   31,304/40,638 = 40,638/x
3. Step 3: Cross multiply
   31,304x = 40,638 × 40,638
4. Step 4: Simplify right side
   31,304x = 1,651,447,044
5. Step 5: Solve for x
   x = 1,651,447,044/31,304
6. Step 6: Final answer
   x = 52,755.14