Finding the Third Proportional to 33,720 and 71,824

Step by Step Solution

1. Step 1: Write the proportion equation
   33,720 : 71,824 = 71,824 : x
2. Step 2: Convert to fraction form
   33,720/71,824 = 71,824/x
3. Step 3: Cross multiply
   33,720x = 71,824 × 71,824
4. Step 4: Simplify right side
   33,720x = 5,158,686,976
5. Step 5: Solve for x
   x = 5,158,686,976/33,720
6. Step 6: Final answer
   x = 152,985.97