Finding the Third Proportional to 2,574.28 and 3,496.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,574.28 : 3,496.92 = 3,496.92 : x
2. Step 2: Convert to fraction form
   2,574.28/3,496.92 = 3,496.92/x
3. Step 3: Cross multiply
   2,574.28x = 3,496.92 × 3,496.92
4. Step 4: Simplify right side
   2,574.28x = 12,228,462.60
5. Step 5: Solve for x
   x = 12,228,462.60/2,574.28
6. Step 6: Final answer
   x = 4,750.24