Finding the Third Proportional to 9,331.50 and 14,565.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,331.50 : 14,565.38 = 14,565.38 : x
2. Step 2: Convert to fraction form
   9,331.50/14,565.38 = 14,565.38/x
3. Step 3: Cross multiply
   9,331.50x = 14,565.38 × 14,565.38
4. Step 4: Simplify right side
   9,331.50x = 212,150,148.89
5. Step 5: Solve for x
   x = 212,150,148.89/9,331.50
6. Step 6: Final answer
   x = 22,734.84