Finding the Third Proportional to 2,578.50 and 5,589

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578.50 : 5,589 = 5,589 : x
2. Step 2: Convert to fraction form
   2,578.50/5,589 = 5,589/x
3. Step 3: Cross multiply
   2,578.50x = 5,589 × 5,589
4. Step 4: Simplify right side
   2,578.50x = 31,236,921
5. Step 5: Solve for x
   x = 31,236,921/2,578.50
6. Step 6: Final answer
   x = 12,114.38