Finding the Third Proportional to 33,919 and 73,675

Step by Step Solution

1. Step 1: Write the proportion equation
   33,919 : 73,675 = 73,675 : x
2. Step 2: Convert to fraction form
   33,919/73,675 = 73,675/x
3. Step 3: Cross multiply
   33,919x = 73,675 × 73,675
4. Step 4: Simplify right side
   33,919x = 5,428,005,625
5. Step 5: Solve for x
   x = 5,428,005,625/33,919
6. Step 6: Final answer
   x = 160,028.47