Finding the Third Proportional to 5,589 and 10,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,589 : 10,165.50 = 10,165.50 : x
2. Step 2: Convert to fraction form
   5,589/10,165.50 = 10,165.50/x
3. Step 3: Cross multiply
   5,589x = 10,165.50 × 10,165.50
4. Step 4: Simplify right side
   5,589x = 103,337,390.25
5. Step 5: Solve for x
   x = 103,337,390.25/5,589
6. Step 6: Final answer
   x = 18,489.42