Finding the Third Proportional to 2,311.88 and 3,589.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,311.88 : 3,589.31 = 3,589.31 : x
2. Step 2: Convert to fraction form
   2,311.88/3,589.31 = 3,589.31/x
3. Step 3: Cross multiply
   2,311.88x = 3,589.31 × 3,589.31
4. Step 4: Simplify right side
   2,311.88x = 12,883,164.22
5. Step 5: Solve for x
   x = 12,883,164.22/2,311.88
6. Step 6: Final answer
   x = 5,572.60