Finding the Third Proportional to 31,223 and 50,727

Step by Step Solution

1. Step 1: Write the proportion equation
   31,223 : 50,727 = 50,727 : x
2. Step 2: Convert to fraction form
   31,223/50,727 = 50,727/x
3. Step 3: Cross multiply
   31,223x = 50,727 × 50,727
4. Step 4: Simplify right side
   31,223x = 2,573,228,529
5. Step 5: Solve for x
   x = 2,573,228,529/31,223
6. Step 6: Final answer
   x = 82,414.52