Finding the Third Proportional to 33,792 and 73,512

Step by Step Solution

1. Step 1: Write the proportion equation
   33,792 : 73,512 = 73,512 : x
2. Step 2: Convert to fraction form
   33,792/73,512 = 73,512/x
3. Step 3: Cross multiply
   33,792x = 73,512 × 73,512
4. Step 4: Simplify right side
   33,792x = 5,404,014,144
5. Step 5: Solve for x
   x = 5,404,014,144/33,792
6. Step 6: Final answer
   x = 159,919.93