Finding the Third Proportional to 23,016 and 33,768

Step by Step Solution

1. Step 1: Write the proportion equation
   23,016 : 33,768 = 33,768 : x
2. Step 2: Convert to fraction form
   23,016/33,768 = 33,768/x
3. Step 3: Cross multiply
   23,016x = 33,768 × 33,768
4. Step 4: Simplify right side
   23,016x = 1,140,277,824
5. Step 5: Solve for x
   x = 1,140,277,824/23,016
6. Step 6: Final answer
   x = 49,542.83