Finding the Third Proportional to 2,400 and 3,466

Step by Step Solution

1. Step 1: Write the proportion equation
   2,400 : 3,466 = 3,466 : x
2. Step 2: Convert to fraction form
   2,400/3,466 = 3,466/x
3. Step 3: Cross multiply
   2,400x = 3,466 × 3,466
4. Step 4: Simplify right side
   2,400x = 12,013,156
5. Step 5: Solve for x
   x = 12,013,156/2,400
6. Step 6: Final answer
   x = 5,005.48