Finding the Third Proportional to 31,171 and 64,177

Step by Step Solution

1. Step 1: Write the proportion equation
   31,171 : 64,177 = 64,177 : x
2. Step 2: Convert to fraction form
   31,171/64,177 = 64,177/x
3. Step 3: Cross multiply
   31,171x = 64,177 × 64,177
4. Step 4: Simplify right side
   31,171x = 4,118,687,329
5. Step 5: Solve for x
   x = 4,118,687,329/31,171
6. Step 6: Final answer
   x = 132,132.02