Finding the Third Proportional to 6,811.25 and 10,414.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,811.25 : 10,414.88 = 10,414.88 : x
2. Step 2: Convert to fraction form
   6,811.25/10,414.88 = 10,414.88/x
3. Step 3: Cross multiply
   6,811.25x = 10,414.88 × 10,414.88
4. Step 4: Simplify right side
   6,811.25x = 108,469,621.27
5. Step 5: Solve for x
   x = 108,469,621.27/6,811.25
6. Step 6: Final answer
   x = 15,925.07