Finding the Third Proportional to 1,589.48 and 3,452.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,589.48 : 3,452.61 = 3,452.61 : x
2. Step 2: Convert to fraction form
   1,589.48/3,452.61 = 3,452.61/x
3. Step 3: Cross multiply
   1,589.48x = 3,452.61 × 3,452.61
4. Step 4: Simplify right side
   1,589.48x = 11,920,482.84
5. Step 5: Solve for x
   x = 11,920,482.84/1,589.48
6. Step 6: Final answer
   x = 7,499.61