Finding the Third Proportional to 2,589 and 3,757.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,589 : 3,757.50 = 3,757.50 : x
2. Step 2: Convert to fraction form
   2,589/3,757.50 = 3,757.50/x
3. Step 3: Cross multiply
   2,589x = 3,757.50 × 3,757.50
4. Step 4: Simplify right side
   2,589x = 14,118,806.25
5. Step 5: Solve for x
   x = 14,118,806.25/2,589
6. Step 6: Final answer
   x = 5,453.38