Finding the Third Proportional to 16,191 and 33,165

Step by Step Solution

1. Step 1: Write the proportion equation
   16,191 : 33,165 = 33,165 : x
2. Step 2: Convert to fraction form
   16,191/33,165 = 33,165/x
3. Step 3: Cross multiply
   16,191x = 33,165 × 33,165
4. Step 4: Simplify right side
   16,191x = 1,099,917,225
5. Step 5: Solve for x
   x = 1,099,917,225/16,191
6. Step 6: Final answer
   x = 67,933.87