Finding the Third Proportional to 31,291 and 65,171

Step by Step Solution

1. Step 1: Write the proportion equation
   31,291 : 65,171 = 65,171 : x
2. Step 2: Convert to fraction form
   31,291/65,171 = 65,171/x
3. Step 3: Cross multiply
   31,291x = 65,171 × 65,171
4. Step 4: Simplify right side
   31,291x = 4,247,259,241
5. Step 5: Solve for x
   x = 4,247,259,241/31,291
6. Step 6: Final answer
   x = 135,734.21