Finding the Third Proportional to 32,171 and 71,227

Step by Step Solution

1. Step 1: Write the proportion equation
   32,171 : 71,227 = 71,227 : x
2. Step 2: Convert to fraction form
   32,171/71,227 = 71,227/x
3. Step 3: Cross multiply
   32,171x = 71,227 × 71,227
4. Step 4: Simplify right side
   32,171x = 5,073,285,529
5. Step 5: Solve for x
   x = 5,073,285,529/32,171
6. Step 6: Final answer
   x = 157,697.48