Finding the Third Proportional to 10,434 and 22,839

Step by Step Solution

1. Step 1: Write the proportion equation
   10,434 : 22,839 = 22,839 : x
2. Step 2: Convert to fraction form
   10,434/22,839 = 22,839/x
3. Step 3: Cross multiply
   10,434x = 22,839 × 22,839
4. Step 4: Simplify right side
   10,434x = 521,619,921
5. Step 5: Solve for x
   x = 521,619,921/10,434
6. Step 6: Final answer
   x = 49,992.33