Finding the Third Proportional to 5,227.59 and 7,452.14

Step by Step Solution

1. Step 1: Write the proportion equation
   5,227.59 : 7,452.14 = 7,452.14 : x
2. Step 2: Convert to fraction form
   5,227.59/7,452.14 = 7,452.14/x
3. Step 3: Cross multiply
   5,227.59x = 7,452.14 × 7,452.14
4. Step 4: Simplify right side
   5,227.59x = 55,534,399.89
5. Step 5: Solve for x
   x = 55,534,399.89/5,227.59
6. Step 6: Final answer
   x = 10,623.32