Finding the Third Proportional to 33,738 and 50,420

Step by Step Solution

1. Step 1: Write the proportion equation
   33,738 : 50,420 = 50,420 : x
2. Step 2: Convert to fraction form
   33,738/50,420 = 50,420/x
3. Step 3: Cross multiply
   33,738x = 50,420 × 50,420
4. Step 4: Simplify right side
   33,738x = 2,542,176,400
5. Step 5: Solve for x
   x = 2,542,176,400/33,738
6. Step 6: Final answer
   x = 75,350.54