Finding the Third Proportional to 2,002 and 2,754

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002 : 2,754 = 2,754 : x
2. Step 2: Convert to fraction form
   2,002/2,754 = 2,754/x
3. Step 3: Cross multiply
   2,002x = 2,754 × 2,754
4. Step 4: Simplify right side
   2,002x = 7,584,516
5. Step 5: Solve for x
   x = 7,584,516/2,002
6. Step 6: Final answer
   x = 3,788.47