Finding the Third Proportional to 2,352.78 and 3,440.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,352.78 : 3,440.72 = 3,440.72 : x
2. Step 2: Convert to fraction form
   2,352.78/3,440.72 = 3,440.72/x
3. Step 3: Cross multiply
   2,352.78x = 3,440.72 × 3,440.72
4. Step 4: Simplify right side
   2,352.78x = 11,838,545.52
5. Step 5: Solve for x
   x = 11,838,545.52/2,352.78
6. Step 6: Final answer
   x = 5,031.72