Finding the Third Proportional to 33,727 and 49,496

Step by Step Solution

1. Step 1: Write the proportion equation
   33,727 : 49,496 = 49,496 : x
2. Step 2: Convert to fraction form
   33,727/49,496 = 49,496/x
3. Step 3: Cross multiply
   33,727x = 49,496 × 49,496
4. Step 4: Simplify right side
   33,727x = 2,449,854,016
5. Step 5: Solve for x
   x = 2,449,854,016/33,727
6. Step 6: Final answer
   x = 72,637.77