Finding the Third Proportional to 33,736 and 73,268

Step by Step Solution

1. Step 1: Write the proportion equation
   33,736 : 73,268 = 73,268 : x
2. Step 2: Convert to fraction form
   33,736/73,268 = 73,268/x
3. Step 3: Cross multiply
   33,736x = 73,268 × 73,268
4. Step 4: Simplify right side
   33,736x = 5,368,199,824
5. Step 5: Solve for x
   x = 5,368,199,824/33,736
6. Step 6: Final answer
   x = 159,123.78