Finding the Third Proportional to 31,779 and 50,274

Step by Step Solution

1. Step 1: Write the proportion equation
   31,779 : 50,274 = 50,274 : x
2. Step 2: Convert to fraction form
   31,779/50,274 = 50,274/x
3. Step 3: Cross multiply
   31,779x = 50,274 × 50,274
4. Step 4: Simplify right side
   31,779x = 2,527,475,076
5. Step 5: Solve for x
   x = 2,527,475,076/31,779
6. Step 6: Final answer
   x = 79,532.87