Finding the Third Proportional to 10,216.13 and 15,820.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,216.13 : 15,820.31 = 15,820.31 : x
2. Step 2: Convert to fraction form
   10,216.13/15,820.31 = 15,820.31/x
3. Step 3: Cross multiply
   10,216.13x = 15,820.31 × 15,820.31
4. Step 4: Simplify right side
   10,216.13x = 250,282,287.60
5. Step 5: Solve for x
   x = 250,282,287.60/10,216.13
6. Step 6: Final answer
   x = 24,498.75