Finding the Third Proportional to 6,452.16 and 9,086.34

Step by Step Solution

1. Step 1: Write the proportion equation
   6,452.16 : 9,086.34 = 9,086.34 : x
2. Step 2: Convert to fraction form
   6,452.16/9,086.34 = 9,086.34/x
3. Step 3: Cross multiply
   6,452.16x = 9,086.34 × 9,086.34
4. Step 4: Simplify right side
   6,452.16x = 82,561,642.74
5. Step 5: Solve for x
   x = 82,561,642.74/6,452.16
6. Step 6: Final answer
   x = 12,795.98