Finding the Third Proportional to 3,589.50 and 5,545.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,589.50 : 5,545.50 = 5,545.50 : x
2. Step 2: Convert to fraction form
   3,589.50/5,545.50 = 5,545.50/x
3. Step 3: Cross multiply
   3,589.50x = 5,545.50 × 5,545.50
4. Step 4: Simplify right side
   3,589.50x = 30,752,570.25
5. Step 5: Solve for x
   x = 30,752,570.25/3,589.50
6. Step 6: Final answer
   x = 8,567.37