Finding the Third Proportional to 33,536 and 73,768

Step by Step Solution

1. Step 1: Write the proportion equation
   33,536 : 73,768 = 73,768 : x
2. Step 2: Convert to fraction form
   33,536/73,768 = 73,768/x
3. Step 3: Cross multiply
   33,536x = 73,768 × 73,768
4. Step 4: Simplify right side
   33,536x = 5,441,717,824
5. Step 5: Solve for x
   x = 5,441,717,824/33,536
6. Step 6: Final answer
   x = 162,264.96