Finding the Third Proportional to 31,919 and 50,518

Step by Step Solution

1. Step 1: Write the proportion equation
   31,919 : 50,518 = 50,518 : x
2. Step 2: Convert to fraction form
   31,919/50,518 = 50,518/x
3. Step 3: Cross multiply
   31,919x = 50,518 × 50,518
4. Step 4: Simplify right side
   31,919x = 2,552,068,324
5. Step 5: Solve for x
   x = 2,552,068,324/31,919
6. Step 6: Final answer
   x = 79,954.52