Finding the Third Proportional to 30,768 and 33,792

Step by Step Solution

1. Step 1: Write the proportion equation
   30,768 : 33,792 = 33,792 : x
2. Step 2: Convert to fraction form
   30,768/33,792 = 33,792/x
3. Step 3: Cross multiply
   30,768x = 33,792 × 33,792
4. Step 4: Simplify right side
   30,768x = 1,141,899,264
5. Step 5: Solve for x
   x = 1,141,899,264/30,768
6. Step 6: Final answer
   x = 37,113.21