Finding the Third Proportional to 33,728 and 49,499

Step by Step Solution

1. Step 1: Write the proportion equation
   33,728 : 49,499 = 49,499 : x
2. Step 2: Convert to fraction form
   33,728/49,499 = 49,499/x
3. Step 3: Cross multiply
   33,728x = 49,499 × 49,499
4. Step 4: Simplify right side
   33,728x = 2,450,151,001
5. Step 5: Solve for x
   x = 2,450,151,001/33,728
6. Step 6: Final answer
   x = 72,644.42