Finding the Third Proportional to 33,838 and 50,760

Step by Step Solution

1. Step 1: Write the proportion equation
   33,838 : 50,760 = 50,760 : x
2. Step 2: Convert to fraction form
   33,838/50,760 = 50,760/x
3. Step 3: Cross multiply
   33,838x = 50,760 × 50,760
4. Step 4: Simplify right side
   33,838x = 2,576,577,600
5. Step 5: Solve for x
   x = 2,576,577,600/33,838
6. Step 6: Final answer
   x = 76,144.50