Finding the Third Proportional to 22,576 and 33,864

Step by Step Solution

1. Step 1: Write the proportion equation
   22,576 : 33,864 = 33,864 : x
2. Step 2: Convert to fraction form
   22,576/33,864 = 33,864/x
3. Step 3: Cross multiply
   22,576x = 33,864 × 33,864
4. Step 4: Simplify right side
   22,576x = 1,146,770,496
5. Step 5: Solve for x
   x = 1,146,770,496/22,576
6. Step 6: Final answer
   x = 50,796