Finding the Third Proportional to 4,737.25 and 7,414.75

Step by Step Solution

1. Step 1: Write the proportion equation
   4,737.25 : 7,414.75 = 7,414.75 : x
2. Step 2: Convert to fraction form
   4,737.25/7,414.75 = 7,414.75/x
3. Step 3: Cross multiply
   4,737.25x = 7,414.75 × 7,414.75
4. Step 4: Simplify right side
   4,737.25x = 54,978,517.56
5. Step 5: Solve for x
   x = 54,978,517.56/4,737.25
6. Step 6: Final answer
   x = 11,605.58