Finding the Third Proportional to 14,644.13 and 32,565.38

Step by Step Solution

1. Step 1: Write the proportion equation
   14,644.13 : 32,565.38 = 32,565.38 : x
2. Step 2: Convert to fraction form
   14,644.13/32,565.38 = 32,565.38/x
3. Step 3: Cross multiply
   14,644.13x = 32,565.38 × 32,565.38
4. Step 4: Simplify right side
   14,644.13x = 1,060,503,648.89
5. Step 5: Solve for x
   x = 1,060,503,648.89/14,644.13
6. Step 6: Final answer
   x = 72,418.37