Finding the Third Proportional to 4,201.31 and 5,545.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,201.31 : 5,545.69 = 5,545.69 : x
2. Step 2: Convert to fraction form
   4,201.31/5,545.69 = 5,545.69/x
3. Step 3: Cross multiply
   4,201.31x = 5,545.69 × 5,545.69
4. Step 4: Simplify right side
   4,201.31x = 30,754,649.85
5. Step 5: Solve for x
   x = 30,754,649.85/4,201.31
6. Step 6: Final answer
   x = 7,320.25