Finding the Third Proportional to 3,982.92 and 5,410.55

Step by Step Solution

1. Step 1: Write the proportion equation
   3,982.92 : 5,410.55 = 5,410.55 : x
2. Step 2: Convert to fraction form
   3,982.92/5,410.55 = 5,410.55/x
3. Step 3: Cross multiply
   3,982.92x = 5,410.55 × 5,410.55
4. Step 4: Simplify right side
   3,982.92x = 29,274,017.49
5. Step 5: Solve for x
   x = 29,274,017.49/3,982.92
6. Step 6: Final answer
   x = 7,349.88