Finding the Third Proportional to 6,002 and 14,132

Step by Step Solution

1. Step 1: Write the proportion equation
   6,002 : 14,132 = 14,132 : x
2. Step 2: Convert to fraction form
   6,002/14,132 = 14,132/x
3. Step 3: Cross multiply
   6,002x = 14,132 × 14,132
4. Step 4: Simplify right side
   6,002x = 199,713,424
5. Step 5: Solve for x
   x = 199,713,424/6,002
6. Step 6: Final answer
   x = 33,274.48