Finding the Third Proportional to 10,456.77 and 15,708.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456.77 : 15,708.38 = 15,708.38 : x
2. Step 2: Convert to fraction form
   10,456.77/15,708.38 = 15,708.38/x
3. Step 3: Cross multiply
   10,456.77x = 15,708.38 × 15,708.38
4. Step 4: Simplify right side
   10,456.77x = 246,753,321.26
5. Step 5: Solve for x
   x = 246,753,321.26/10,456.77
6. Step 6: Final answer
   x = 23,597.47