Finding the Third Proportional to 3,589 and 5,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,589 : 5,543.50 = 5,543.50 : x
2. Step 2: Convert to fraction form
   3,589/5,543.50 = 5,543.50/x
3. Step 3: Cross multiply
   3,589x = 5,543.50 × 5,543.50
4. Step 4: Simplify right side
   3,589x = 30,730,392.25
5. Step 5: Solve for x
   x = 30,730,392.25/3,589
6. Step 6: Final answer
   x = 8,562.38