Finding the Third Proportional to 2,533.50 and 5,545.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,533.50 : 5,545.69 = 5,545.69 : x
2. Step 2: Convert to fraction form
   2,533.50/5,545.69 = 5,545.69/x
3. Step 3: Cross multiply
   2,533.50x = 5,545.69 × 5,545.69
4. Step 4: Simplify right side
   2,533.50x = 30,754,649.85
5. Step 5: Solve for x
   x = 30,754,649.85/2,533.50
6. Step 6: Final answer
   x = 12,139.19