Finding the Third Proportional to 33,648 and 72,768

Step by Step Solution

1. Step 1: Write the proportion equation
   33,648 : 72,768 = 72,768 : x
2. Step 2: Convert to fraction form
   33,648/72,768 = 72,768/x
3. Step 3: Cross multiply
   33,648x = 72,768 × 72,768
4. Step 4: Simplify right side
   33,648x = 5,295,181,824
5. Step 5: Solve for x
   x = 5,295,181,824/33,648
6. Step 6: Final answer
   x = 157,369.88