Finding the Third Proportional to 31,837 and 65,267

Step by Step Solution

1. Step 1: Write the proportion equation
   31,837 : 65,267 = 65,267 : x
2. Step 2: Convert to fraction form
   31,837/65,267 = 65,267/x
3. Step 3: Cross multiply
   31,837x = 65,267 × 65,267
4. Step 4: Simplify right side
   31,837x = 4,259,781,289
5. Step 5: Solve for x
   x = 4,259,781,289/31,837
6. Step 6: Final answer
   x = 133,799.71