Finding the Third Proportional to 2,280.66 and 3,541.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,280.66 : 3,541.22 = 3,541.22 : x
2. Step 2: Convert to fraction form
   2,280.66/3,541.22 = 3,541.22/x
3. Step 3: Cross multiply
   2,280.66x = 3,541.22 × 3,541.22
4. Step 4: Simplify right side
   2,280.66x = 12,540,230.24
5. Step 5: Solve for x
   x = 12,540,230.24/2,280.66
6. Step 6: Final answer
   x = 5,498.52