Finding the Third Proportional to 33,564 and 71,976

Step by Step Solution

1. Step 1: Write the proportion equation
   33,564 : 71,976 = 71,976 : x
2. Step 2: Convert to fraction form
   33,564/71,976 = 71,976/x
3. Step 3: Cross multiply
   33,564x = 71,976 × 71,976
4. Step 4: Simplify right side
   33,564x = 5,180,544,576
5. Step 5: Solve for x
   x = 5,180,544,576/33,564
6. Step 6: Final answer
   x = 154,348.25