Finding the Third Proportional to 5,540.25 and 7,474.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,540.25 : 7,474.50 = 7,474.50 : x
2. Step 2: Convert to fraction form
   5,540.25/7,474.50 = 7,474.50/x
3. Step 3: Cross multiply
   5,540.25x = 7,474.50 × 7,474.50
4. Step 4: Simplify right side
   5,540.25x = 55,868,150.25
5. Step 5: Solve for x
   x = 55,868,150.25/5,540.25
6. Step 6: Final answer
   x = 10,084.05