Finding the Third Proportional to 5,142.87 and 7,227.35

Step by Step Solution

1. Step 1: Write the proportion equation
   5,142.87 : 7,227.35 = 7,227.35 : x
2. Step 2: Convert to fraction form
   5,142.87/7,227.35 = 7,227.35/x
3. Step 3: Cross multiply
   5,142.87x = 7,227.35 × 7,227.35
4. Step 4: Simplify right side
   5,142.87x = 52,234,610.61
5. Step 5: Solve for x
   x = 52,234,610.61/5,142.87
6. Step 6: Final answer
   x = 10,156.71