Finding the Third Proportional to 33,684 and 50,949

Step by Step Solution

1. Step 1: Write the proportion equation
   33,684 : 50,949 = 50,949 : x
2. Step 2: Convert to fraction form
   33,684/50,949 = 50,949/x
3. Step 3: Cross multiply
   33,684x = 50,949 × 50,949
4. Step 4: Simplify right side
   33,684x = 2,595,800,601
5. Step 5: Solve for x
   x = 2,595,800,601/33,684
6. Step 6: Final answer
   x = 77,063.31