Finding the Third Proportional to 14,285.25 and 21,414.38

Step by Step Solution

1. Step 1: Write the proportion equation
   14,285.25 : 21,414.38 = 21,414.38 : x
2. Step 2: Convert to fraction form
   14,285.25/21,414.38 = 21,414.38/x
3. Step 3: Cross multiply
   14,285.25x = 21,414.38 × 21,414.38
4. Step 4: Simplify right side
   14,285.25x = 458,575,456.64
5. Step 5: Solve for x
   x = 458,575,456.64/14,285.25
6. Step 6: Final answer
   x = 32,101.33