Finding the Third Proportional to 10,002 and 16,671

Step by Step Solution

1. Step 1: Write the proportion equation
   10,002 : 16,671 = 16,671 : x
2. Step 2: Convert to fraction form
   10,002/16,671 = 16,671/x
3. Step 3: Cross multiply
   10,002x = 16,671 × 16,671
4. Step 4: Simplify right side
   10,002x = 277,922,241
5. Step 5: Solve for x
   x = 277,922,241/10,002
6. Step 6: Final answer
   x = 27,786.67