Finding the Third Proportional to 16,177.50 and 25,139.25

Step by Step Solution

1. Step 1: Write the proportion equation
   16,177.50 : 25,139.25 = 25,139.25 : x
2. Step 2: Convert to fraction form
   16,177.50/25,139.25 = 25,139.25/x
3. Step 3: Cross multiply
   16,177.50x = 25,139.25 × 25,139.25
4. Step 4: Simplify right side
   16,177.50x = 631,981,890.56
5. Step 5: Solve for x
   x = 631,981,890.56/16,177.50
6. Step 6: Final answer
   x = 39,065.49