Finding the Third Proportional to 7,707.66 and 10,414.83

Step by Step Solution

1. Step 1: Write the proportion equation
   7,707.66 : 10,414.83 = 10,414.83 : x
2. Step 2: Convert to fraction form
   7,707.66/10,414.83 = 10,414.83/x
3. Step 3: Cross multiply
   7,707.66x = 10,414.83 × 10,414.83
4. Step 4: Simplify right side
   7,707.66x = 108,468,644.87
5. Step 5: Solve for x
   x = 108,468,644.87/7,707.66
6. Step 6: Final answer
   x = 14,072.84