Finding the Third Proportional to 6,841.13 and 10,268.86

Step by Step Solution

1. Step 1: Write the proportion equation
   6,841.13 : 10,268.86 = 10,268.86 : x
2. Step 2: Convert to fraction form
   6,841.13/10,268.86 = 10,268.86/x
3. Step 3: Cross multiply
   6,841.13x = 10,268.86 × 10,268.86
4. Step 4: Simplify right side
   6,841.13x = 105,449,472.86
5. Step 5: Solve for x
   x = 105,449,472.86/6,841.13
6. Step 6: Final answer
   x = 15,414.05