Finding the Third Proportional to 14,766 and 21,663

Step by Step Solution

1. Step 1: Write the proportion equation
   14,766 : 21,663 = 21,663 : x
2. Step 2: Convert to fraction form
   14,766/21,663 = 21,663/x
3. Step 3: Cross multiply
   14,766x = 21,663 × 21,663
4. Step 4: Simplify right side
   14,766x = 469,285,569
5. Step 5: Solve for x
   x = 469,285,569/14,766
6. Step 6: Final answer
   x = 31,781.50