Finding the Third Proportional to 3,377.25 and 5,296.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,377.25 : 5,296.50 = 5,296.50 : x
2. Step 2: Convert to fraction form
   3,377.25/5,296.50 = 5,296.50/x
3. Step 3: Cross multiply
   3,377.25x = 5,296.50 × 5,296.50
4. Step 4: Simplify right side
   3,377.25x = 28,052,912.25
5. Step 5: Solve for x
   x = 28,052,912.25/3,377.25
6. Step 6: Final answer
   x = 8,306.44