Finding the Third Proportional to 10,262.81 and 15,847.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,262.81 : 15,847.31 = 15,847.31 : x
2. Step 2: Convert to fraction form
   10,262.81/15,847.31 = 15,847.31/x
3. Step 3: Cross multiply
   10,262.81x = 15,847.31 × 15,847.31
4. Step 4: Simplify right side
   10,262.81x = 251,137,313.47
5. Step 5: Solve for x
   x = 251,137,313.47/10,262.81
6. Step 6: Final answer
   x = 24,470.61