Finding the Third Proportional to 7,708.50 and 10,540.13

Step by Step Solution

1. Step 1: Write the proportion equation
   7,708.50 : 10,540.13 = 10,540.13 : x
2. Step 2: Convert to fraction form
   7,708.50/10,540.13 = 10,540.13/x
3. Step 3: Cross multiply
   7,708.50x = 10,540.13 × 10,540.13
4. Step 4: Simplify right side
   7,708.50x = 111,094,235.02
5. Step 5: Solve for x
   x = 111,094,235.02/7,708.50
6. Step 6: Final answer
   x = 14,411.91