Finding the Third Proportional to 10,314.25 and 15,727.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,314.25 : 15,727.88 = 15,727.88 : x
2. Step 2: Convert to fraction form
   10,314.25/15,727.88 = 15,727.88/x
3. Step 3: Cross multiply
   10,314.25x = 15,727.88 × 15,727.88
4. Step 4: Simplify right side
   10,314.25x = 247,366,052.02
5. Step 5: Solve for x
   x = 247,366,052.02/10,314.25
6. Step 6: Final answer
   x = 23,982.94