Finding the Third Proportional to 22,084 and 33,144

Step by Step Solution

1. Step 1: Write the proportion equation
   22,084 : 33,144 = 33,144 : x
2. Step 2: Convert to fraction form
   22,084/33,144 = 33,144/x
3. Step 3: Cross multiply
   22,084x = 33,144 × 33,144
4. Step 4: Simplify right side
   22,084x = 1,098,524,736
5. Step 5: Solve for x
   x = 1,098,524,736/22,084
6. Step 6: Final answer
   x = 49,743.01