Finding the Third Proportional to 2,882.25 and 4,048.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,882.25 : 4,048.31 = 4,048.31 : x
2. Step 2: Convert to fraction form
   2,882.25/4,048.31 = 4,048.31/x
3. Step 3: Cross multiply
   2,882.25x = 4,048.31 × 4,048.31
4. Step 4: Simplify right side
   2,882.25x = 16,388,834.10
5. Step 5: Solve for x
   x = 16,388,834.10/2,882.25
6. Step 6: Final answer
   x = 5,686.13