Finding the Third Proportional to 6,142.39 and 8,231.15

Step by Step Solution

1. Step 1: Write the proportion equation
   6,142.39 : 8,231.15 = 8,231.15 : x
2. Step 2: Convert to fraction form
   6,142.39/8,231.15 = 8,231.15/x
3. Step 3: Cross multiply
   6,142.39x = 8,231.15 × 8,231.15
4. Step 4: Simplify right side
   6,142.39x = 67,751,836.75
5. Step 5: Solve for x
   x = 67,751,836.75/6,142.39
6. Step 6: Final answer
   x = 11,030.20