Finding the Third Proportional to 10,387.50 and 15,689.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,387.50 : 15,689.25 = 15,689.25 : x
2. Step 2: Convert to fraction form
   10,387.50/15,689.25 = 15,689.25/x
3. Step 3: Cross multiply
   10,387.50x = 15,689.25 × 15,689.25
4. Step 4: Simplify right side
   10,387.50x = 246,152,565.56
5. Step 5: Solve for x
   x = 246,152,565.56/10,387.50
6. Step 6: Final answer
   x = 23,697.00