Finding the Third Proportional to 14,632 and 31,748

Step by Step Solution

1. Step 1: Write the proportion equation
   14,632 : 31,748 = 31,748 : x
2. Step 2: Convert to fraction form
   14,632/31,748 = 31,748/x
3. Step 3: Cross multiply
   14,632x = 31,748 × 31,748
4. Step 4: Simplify right side
   14,632x = 1,007,935,504
5. Step 5: Solve for x
   x = 1,007,935,504/14,632
6. Step 6: Final answer
   x = 68,885.70