Finding the Third Proportional to 33,846 and 50,574

Step by Step Solution

1. Step 1: Write the proportion equation
   33,846 : 50,574 = 50,574 : x
2. Step 2: Convert to fraction form
   33,846/50,574 = 50,574/x
3. Step 3: Cross multiply
   33,846x = 50,574 × 50,574
4. Step 4: Simplify right side
   33,846x = 2,557,729,476
5. Step 5: Solve for x
   x = 2,557,729,476/33,846
6. Step 6: Final answer
   x = 75,569.62