Finding the Third Proportional to 31,771 and 50,258

Step by Step Solution

1. Step 1: Write the proportion equation
   31,771 : 50,258 = 50,258 : x
2. Step 2: Convert to fraction form
   31,771/50,258 = 50,258/x
3. Step 3: Cross multiply
   31,771x = 50,258 × 50,258
4. Step 4: Simplify right side
   31,771x = 2,525,866,564
5. Step 5: Solve for x
   x = 2,525,866,564/31,771
6. Step 6: Final answer
   x = 79,502.27