Finding the Third Proportional to 3,162.80 and 5,410.55

Step by Step Solution

1. Step 1: Write the proportion equation
   3,162.80 : 5,410.55 = 5,410.55 : x
2. Step 2: Convert to fraction form
   3,162.80/5,410.55 = 5,410.55/x
3. Step 3: Cross multiply
   3,162.80x = 5,410.55 × 5,410.55
4. Step 4: Simplify right side
   3,162.80x = 29,274,017.49
5. Step 5: Solve for x
   x = 29,274,017.49/3,162.80
6. Step 6: Final answer
   x = 9,255.74