Finding the Third Proportional to 31,856 and 50,609

Step by Step Solution

1. Step 1: Write the proportion equation
   31,856 : 50,609 = 50,609 : x
2. Step 2: Convert to fraction form
   31,856/50,609 = 50,609/x
3. Step 3: Cross multiply
   31,856x = 50,609 × 50,609
4. Step 4: Simplify right side
   31,856x = 2,561,270,881
5. Step 5: Solve for x
   x = 2,561,270,881/31,856
6. Step 6: Final answer
   x = 80,401.52