Finding the Third Proportional to 2,002 and 2,746

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002 : 2,746 = 2,746 : x
2. Step 2: Convert to fraction form
   2,002/2,746 = 2,746/x
3. Step 3: Cross multiply
   2,002x = 2,746 × 2,746
4. Step 4: Simplify right side
   2,002x = 7,540,516
5. Step 5: Solve for x
   x = 7,540,516/2,002
6. Step 6: Final answer
   x = 3,766.49