Finding the Third Proportional to 2,615.91 and 3,658.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,615.91 : 3,658.78 = 3,658.78 : x
2. Step 2: Convert to fraction form
   2,615.91/3,658.78 = 3,658.78/x
3. Step 3: Cross multiply
   2,615.91x = 3,658.78 × 3,658.78
4. Step 4: Simplify right side
   2,615.91x = 13,386,680.24
5. Step 5: Solve for x
   x = 13,386,680.24/2,615.91
6. Step 6: Final answer
   x = 5,117.42