Finding the Third Proportional to 3,294.25 and 5,086.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,294.25 : 5,086.88 = 5,086.88 : x
2. Step 2: Convert to fraction form
   3,294.25/5,086.88 = 5,086.88/x
3. Step 3: Cross multiply
   3,294.25x = 5,086.88 × 5,086.88
4. Step 4: Simplify right side
   3,294.25x = 25,876,297.27
5. Step 5: Solve for x
   x = 25,876,297.27/3,294.25
6. Step 6: Final answer
   x = 7,854.99