Finding the Third Proportional to 33,996 and 73,467

Step by Step Solution

1. Step 1: Write the proportion equation
   33,996 : 73,467 = 73,467 : x
2. Step 2: Convert to fraction form
   33,996/73,467 = 73,467/x
3. Step 3: Cross multiply
   33,996x = 73,467 × 73,467
4. Step 4: Simplify right side
   33,996x = 5,397,400,089
5. Step 5: Solve for x
   x = 5,397,400,089/33,996
6. Step 6: Final answer
   x = 158,765.74