Finding the Third Proportional to 33,872 and 73,856

Step by Step Solution

1. Step 1: Write the proportion equation
   33,872 : 73,856 = 73,856 : x
2. Step 2: Convert to fraction form
   33,872/73,856 = 73,856/x
3. Step 3: Cross multiply
   33,872x = 73,856 × 73,856
4. Step 4: Simplify right side
   33,872x = 5,454,708,736
5. Step 5: Solve for x
   x = 5,454,708,736/33,872
6. Step 6: Final answer
   x = 161,038.87