Finding the Third Proportional to 2,287.13 and 3,382.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,287.13 : 3,382.31 = 3,382.31 : x
2. Step 2: Convert to fraction form
   2,287.13/3,382.31 = 3,382.31/x
3. Step 3: Cross multiply
   2,287.13x = 3,382.31 × 3,382.31
4. Step 4: Simplify right side
   2,287.13x = 11,440,037.85
5. Step 5: Solve for x
   x = 11,440,037.85/2,287.13
6. Step 6: Final answer
   x = 5,001.93