Finding the Third Proportional to 3,658.92 and 5,641.52

Step by Step Solution

1. Step 1: Write the proportion equation
   3,658.92 : 5,641.52 = 5,641.52 : x
2. Step 2: Convert to fraction form
   3,658.92/5,641.52 = 5,641.52/x
3. Step 3: Cross multiply
   3,658.92x = 5,641.52 × 5,641.52
4. Step 4: Simplify right side
   3,658.92x = 31,826,786.70
5. Step 5: Solve for x
   x = 31,826,786.70/3,658.92
6. Step 6: Final answer
   x = 8,698.41