Finding the Third Proportional to 3,496.92 and 5,414.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,496.92 : 5,414.82 = 5,414.82 : x
2. Step 2: Convert to fraction form
   3,496.92/5,414.82 = 5,414.82/x
3. Step 3: Cross multiply
   3,496.92x = 5,414.82 × 5,414.82
4. Step 4: Simplify right side
   3,496.92x = 29,320,257.87
5. Step 5: Solve for x
   x = 29,320,257.87/3,496.92
6. Step 6: Final answer
   x = 8,384.59