Finding the Third Proportional to 22,164 and 33,171

Step by Step Solution

1. Step 1: Write the proportion equation
   22,164 : 33,171 = 33,171 : x
2. Step 2: Convert to fraction form
   22,164/33,171 = 33,171/x
3. Step 3: Cross multiply
   22,164x = 33,171 × 33,171
4. Step 4: Simplify right side
   22,164x = 1,100,315,241
5. Step 5: Solve for x
   x = 1,100,315,241/22,164
6. Step 6: Final answer
   x = 49,644.25