Finding the Third Proportional to 33,792 and 70,656

Step by Step Solution

1. Step 1: Write the proportion equation
   33,792 : 70,656 = 70,656 : x
2. Step 2: Convert to fraction form
   33,792/70,656 = 70,656/x
3. Step 3: Cross multiply
   33,792x = 70,656 × 70,656
4. Step 4: Simplify right side
   33,792x = 4,992,270,336
5. Step 5: Solve for x
   x = 4,992,270,336/33,792
6. Step 6: Final answer
   x = 147,735.27