Finding the Third Proportional to 14,638 and 31,499

Step by Step Solution

1. Step 1: Write the proportion equation
   14,638 : 31,499 = 31,499 : x
2. Step 2: Convert to fraction form
   14,638/31,499 = 31,499/x
3. Step 3: Cross multiply
   14,638x = 31,499 × 31,499
4. Step 4: Simplify right side
   14,638x = 992,187,001
5. Step 5: Solve for x
   x = 992,187,001/14,638
6. Step 6: Final answer
   x = 67,781.60