Finding the Third Proportional to 2,589.38 and 3,708.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,589.38 : 3,708.38 = 3,708.38 : x
2. Step 2: Convert to fraction form
   2,589.38/3,708.38 = 3,708.38/x
3. Step 3: Cross multiply
   2,589.38x = 3,708.38 × 3,708.38
4. Step 4: Simplify right side
   2,589.38x = 13,752,045.14
5. Step 5: Solve for x
   x = 13,752,045.14/2,589.38
6. Step 6: Final answer
   x = 5,310.95