Finding the Third Proportional to 33,760 and 73,874

Step by Step Solution

1. Step 1: Write the proportion equation
   33,760 : 73,874 = 73,874 : x
2. Step 2: Convert to fraction form
   33,760/73,874 = 73,874/x
3. Step 3: Cross multiply
   33,760x = 73,874 × 73,874
4. Step 4: Simplify right side
   33,760x = 5,457,367,876
5. Step 5: Solve for x
   x = 5,457,367,876/33,760
6. Step 6: Final answer
   x = 161,651.89