Finding the Third Proportional to 16,585.88 and 25,142.06

Step by Step Solution

1. Step 1: Write the proportion equation
   16,585.88 : 25,142.06 = 25,142.06 : x
2. Step 2: Convert to fraction form
   16,585.88/25,142.06 = 25,142.06/x
3. Step 3: Cross multiply
   16,585.88x = 25,142.06 × 25,142.06
4. Step 4: Simplify right side
   16,585.88x = 632,123,306.75
5. Step 5: Solve for x
   x = 632,123,306.75/16,585.88
6. Step 6: Final answer
   x = 38,112.15