Finding the Third Proportional to 31,771 and 67,765

Step by Step Solution

1. Step 1: Write the proportion equation
   31,771 : 67,765 = 67,765 : x
2. Step 2: Convert to fraction form
   31,771/67,765 = 67,765/x
3. Step 3: Cross multiply
   31,771x = 67,765 × 67,765
4. Step 4: Simplify right side
   31,771x = 4,592,095,225
5. Step 5: Solve for x
   x = 4,592,095,225/31,771
6. Step 6: Final answer
   x = 144,537.32