Finding the Third Proportional to 2,474 and 3,002

Step by Step Solution

1. Step 1: Write the proportion equation
   2,474 : 3,002 = 3,002 : x
2. Step 2: Convert to fraction form
   2,474/3,002 = 3,002/x
3. Step 3: Cross multiply
   2,474x = 3,002 × 3,002
4. Step 4: Simplify right side
   2,474x = 9,012,004
5. Step 5: Solve for x
   x = 9,012,004/2,474
6. Step 6: Final answer
   x = 3,642.69