Finding the Third Proportional to 31,749 and 50,231

Step by Step Solution

1. Step 1: Write the proportion equation
   31,749 : 50,231 = 50,231 : x
2. Step 2: Convert to fraction form
   31,749/50,231 = 50,231/x
3. Step 3: Cross multiply
   31,749x = 50,231 × 50,231
4. Step 4: Simplify right side
   31,749x = 2,523,153,361
5. Step 5: Solve for x
   x = 2,523,153,361/31,749
6. Step 6: Final answer
   x = 79,471.90