Finding the Third Proportional to 23,574 and 50,839

Step by Step Solution

1. Step 1: Write the proportion equation
   23,574 : 50,839 = 50,839 : x
2. Step 2: Convert to fraction form
   23,574/50,839 = 50,839/x
3. Step 3: Cross multiply
   23,574x = 50,839 × 50,839
4. Step 4: Simplify right side
   23,574x = 2,584,603,921
5. Step 5: Solve for x
   x = 2,584,603,921/23,574
6. Step 6: Final answer
   x = 109,637.90