Finding the Third Proportional to 6,502.78 and 8,287.31

Step by Step Solution

1. Step 1: Write the proportion equation
   6,502.78 : 8,287.31 = 8,287.31 : x
2. Step 2: Convert to fraction form
   6,502.78/8,287.31 = 8,287.31/x
3. Step 3: Cross multiply
   6,502.78x = 8,287.31 × 8,287.31
4. Step 4: Simplify right side
   6,502.78x = 68,679,548.47
5. Step 5: Solve for x
   x = 68,679,548.47/6,502.78
6. Step 6: Final answer
   x = 10,561.57