Finding the Third Proportional to 16,589.50 and 25,687.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,589.50 : 25,687.50 = 25,687.50 : x
2. Step 2: Convert to fraction form
   16,589.50/25,687.50 = 25,687.50/x
3. Step 3: Cross multiply
   16,589.50x = 25,687.50 × 25,687.50
4. Step 4: Simplify right side
   16,589.50x = 659,847,656.25
5. Step 5: Solve for x
   x = 659,847,656.25/16,589.50
6. Step 6: Final answer
   x = 39,775.02