Finding the Third Proportional to 10,215.75 and 15,785.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,215.75 : 15,785.25 = 15,785.25 : x
2. Step 2: Convert to fraction form
   10,215.75/15,785.25 = 15,785.25/x
3. Step 3: Cross multiply
   10,215.75x = 15,785.25 × 15,785.25
4. Step 4: Simplify right side
   10,215.75x = 249,174,117.56
5. Step 5: Solve for x
   x = 249,174,117.56/10,215.75
6. Step 6: Final answer
   x = 24,391.17