Finding the Third Proportional to 33,869 and 50,314

Step by Step Solution

1. Step 1: Write the proportion equation
   33,869 : 50,314 = 50,314 : x
2. Step 2: Convert to fraction form
   33,869/50,314 = 50,314/x
3. Step 3: Cross multiply
   33,869x = 50,314 × 50,314
4. Step 4: Simplify right side
   33,869x = 2,531,498,596
5. Step 5: Solve for x
   x = 2,531,498,596/33,869
6. Step 6: Final answer
   x = 74,743.82