Finding the Third Proportional to 14,728 and 31,663

Step by Step Solution

1. Step 1: Write the proportion equation
   14,728 : 31,663 = 31,663 : x
2. Step 2: Convert to fraction form
   14,728/31,663 = 31,663/x
3. Step 3: Cross multiply
   14,728x = 31,663 × 31,663
4. Step 4: Simplify right side
   14,728x = 1,002,545,569
5. Step 5: Solve for x
   x = 1,002,545,569/14,728
6. Step 6: Final answer
   x = 68,070.72