Finding the Third Proportional to 756.50 and 1,589.50

Step by Step Solution

1. Step 1: Write the proportion equation
   756.50 : 1,589.50 = 1,589.50 : x
2. Step 2: Convert to fraction form
   756.50/1,589.50 = 1,589.50/x
3. Step 3: Cross multiply
   756.50x = 1,589.50 × 1,589.50
4. Step 4: Simplify right side
   756.50x = 2,526,510.25
5. Step 5: Solve for x
   x = 2,526,510.25/756.50
6. Step 6: Final answer
   x = 3,339.74