Finding the Third Proportional to 31,502 and 50,757

Step by Step Solution

1. Step 1: Write the proportion equation
   31,502 : 50,757 = 50,757 : x
2. Step 2: Convert to fraction form
   31,502/50,757 = 50,757/x
3. Step 3: Cross multiply
   31,502x = 50,757 × 50,757
4. Step 4: Simplify right side
   31,502x = 2,576,273,049
5. Step 5: Solve for x
   x = 2,576,273,049/31,502
6. Step 6: Final answer
   x = 81,781.25