Finding the Third Proportional to 2,589.56 and 3,474.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,589.56 : 3,474.19 = 3,474.19 : x
2. Step 2: Convert to fraction form
   2,589.56/3,474.19 = 3,474.19/x
3. Step 3: Cross multiply
   2,589.56x = 3,474.19 × 3,474.19
4. Step 4: Simplify right side
   2,589.56x = 12,069,978.79
5. Step 5: Solve for x
   x = 12,069,978.79/2,589.56
6. Step 6: Final answer
   x = 4,661.01