Finding the Third Proportional to 33,792 and 69,726

Step by Step Solution

1. Step 1: Write the proportion equation
   33,792 : 69,726 = 69,726 : x
2. Step 2: Convert to fraction form
   33,792/69,726 = 69,726/x
3. Step 3: Cross multiply
   33,792x = 69,726 × 69,726
4. Step 4: Simplify right side
   33,792x = 4,861,715,076
5. Step 5: Solve for x
   x = 4,861,715,076/33,792
6. Step 6: Final answer
   x = 143,871.78