Finding the Third Proportional to 33,824 and 69,792

Step by Step Solution

1. Step 1: Write the proportion equation
   33,824 : 69,792 = 69,792 : x
2. Step 2: Convert to fraction form
   33,824/69,792 = 69,792/x
3. Step 3: Cross multiply
   33,824x = 69,792 × 69,792
4. Step 4: Simplify right side
   33,824x = 4,870,923,264
5. Step 5: Solve for x
   x = 4,870,923,264/33,824
6. Step 6: Final answer
   x = 144,007.90