Finding the Third Proportional to 2,338.13 and 3,589.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,338.13 : 3,589.31 = 3,589.31 : x
2. Step 2: Convert to fraction form
   2,338.13/3,589.31 = 3,589.31/x
3. Step 3: Cross multiply
   2,338.13x = 3,589.31 × 3,589.31
4. Step 4: Simplify right side
   2,338.13x = 12,883,164.22
5. Step 5: Solve for x
   x = 12,883,164.22/2,338.13
6. Step 6: Final answer
   x = 5,510.04