Finding the Third Proportional to 31,727 and 49,049

Step by Step Solution

1. Step 1: Write the proportion equation
   31,727 : 49,049 = 49,049 : x
2. Step 2: Convert to fraction form
   31,727/49,049 = 49,049/x
3. Step 3: Cross multiply
   31,727x = 49,049 × 49,049
4. Step 4: Simplify right side
   31,727x = 2,405,804,401
5. Step 5: Solve for x
   x = 2,405,804,401/31,727
6. Step 6: Final answer
   x = 75,828.30