Finding the Third Proportional to 2,002 and 3,692

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002 : 3,692 = 3,692 : x
2. Step 2: Convert to fraction form
   2,002/3,692 = 3,692/x
3. Step 3: Cross multiply
   2,002x = 3,692 × 3,692
4. Step 4: Simplify right side
   2,002x = 13,630,864
5. Step 5: Solve for x
   x = 13,630,864/2,002
6. Step 6: Final answer
   x = 6,808.62