Finding the Third Proportional to 2,002 and 3,012

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002 : 3,012 = 3,012 : x
2. Step 2: Convert to fraction form
   2,002/3,012 = 3,012/x
3. Step 3: Cross multiply
   2,002x = 3,012 × 3,012
4. Step 4: Simplify right side
   2,002x = 9,072,144
5. Step 5: Solve for x
   x = 9,072,144/2,002
6. Step 6: Final answer
   x = 4,531.54