Finding the Third Proportional to 2,002 and 4,714

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002 : 4,714 = 4,714 : x
2. Step 2: Convert to fraction form
   2,002/4,714 = 4,714/x
3. Step 3: Cross multiply
   2,002x = 4,714 × 4,714
4. Step 4: Simplify right side
   2,002x = 22,221,796
5. Step 5: Solve for x
   x = 22,221,796/2,002
6. Step 6: Final answer
   x = 11,099.80