Finding the Third Proportional to 16,002 and 37,198

Step by Step Solution

1. Step 1: Write the proportion equation
   16,002 : 37,198 = 37,198 : x
2. Step 2: Convert to fraction form
   16,002/37,198 = 37,198/x
3. Step 3: Cross multiply
   16,002x = 37,198 × 37,198
4. Step 4: Simplify right side
   16,002x = 1,383,691,204
5. Step 5: Solve for x
   x = 1,383,691,204/16,002
6. Step 6: Final answer
   x = 86,469.89