Finding the Third Proportional to 2,002 and 3,944

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002 : 3,944 = 3,944 : x
2. Step 2: Convert to fraction form
   2,002/3,944 = 3,944/x
3. Step 3: Cross multiply
   2,002x = 3,944 × 3,944
4. Step 4: Simplify right side
   2,002x = 15,555,136
5. Step 5: Solve for x
   x = 15,555,136/2,002
6. Step 6: Final answer
   x = 7,769.80