Finding the Third Proportional to 30,720 and 65,792

Step by Step Solution

1. Step 1: Write the proportion equation
   30,720 : 65,792 = 65,792 : x
2. Step 2: Convert to fraction form
   30,720/65,792 = 65,792/x
3. Step 3: Cross multiply
   30,720x = 65,792 × 65,792
4. Step 4: Simplify right side
   30,720x = 4,328,587,264
5. Step 5: Solve for x
   x = 4,328,587,264/30,720
6. Step 6: Final answer
   x = 140,904.53