Finding the Third Proportional to 33,969.38 and 49,982.06

Step by Step Solution

1. Step 1: Write the proportion equation
   33,969.38 : 49,982.06 = 49,982.06 : x
2. Step 2: Convert to fraction form
   33,969.38/49,982.06 = 49,982.06/x
3. Step 3: Cross multiply
   33,969.38x = 49,982.06 × 49,982.06
4. Step 4: Simplify right side
   33,969.38x = 2,498,206,571.75
5. Step 5: Solve for x
   x = 2,498,206,571.75/33,969.38
6. Step 6: Final answer
   x = 73,542.91