Finding the Third Proportional to 14,762.25 and 21,657.38

Step by Step Solution

1. Step 1: Write the proportion equation
   14,762.25 : 21,657.38 = 21,657.38 : x
2. Step 2: Convert to fraction form
   14,762.25/21,657.38 = 21,657.38/x
3. Step 3: Cross multiply
   14,762.25x = 21,657.38 × 21,657.38
4. Step 4: Simplify right side
   14,762.25x = 469,041,891.89
5. Step 5: Solve for x
   x = 469,041,891.89/14,762.25
6. Step 6: Final answer
   x = 31,773.06