Finding the Third Proportional to 1,786.43 and 3,658.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,786.43 : 3,658.29 = 3,658.29 : x
2. Step 2: Convert to fraction form
   1,786.43/3,658.29 = 3,658.29/x
3. Step 3: Cross multiply
   1,786.43x = 3,658.29 × 3,658.29
4. Step 4: Simplify right side
   1,786.43x = 13,383,078.86
5. Step 5: Solve for x
   x = 13,383,078.86/1,786.43
6. Step 6: Final answer
   x = 7,491.52