Finding the Third Proportional to 33,738.50 and 50,422

Step by Step Solution

1. Step 1: Write the proportion equation
   33,738.50 : 50,422 = 50,422 : x
2. Step 2: Convert to fraction form
   33,738.50/50,422 = 50,422/x
3. Step 3: Cross multiply
   33,738.50x = 50,422 × 50,422
4. Step 4: Simplify right side
   33,738.50x = 2,542,378,084
5. Step 5: Solve for x
   x = 2,542,378,084/33,738.50
6. Step 6: Final answer
   x = 75,355.40