Finding the Third Proportional to 3,589.31 and 5,158.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,589.31 : 5,158.69 = 5,158.69 : x
2. Step 2: Convert to fraction form
   3,589.31/5,158.69 = 5,158.69/x
3. Step 3: Cross multiply
   3,589.31x = 5,158.69 × 5,158.69
4. Step 4: Simplify right side
   3,589.31x = 26,612,056.72
5. Step 5: Solve for x
   x = 26,612,056.72/3,589.31
6. Step 6: Final answer
   x = 7,414.25