Finding the Third Proportional to 4,682 and 10,839

Step by Step Solution

1. Step 1: Write the proportion equation
   4,682 : 10,839 = 10,839 : x
2. Step 2: Convert to fraction form
   4,682/10,839 = 10,839/x
3. Step 3: Cross multiply
   4,682x = 10,839 × 10,839
4. Step 4: Simplify right side
   4,682x = 117,483,921
5. Step 5: Solve for x
   x = 117,483,921/4,682
6. Step 6: Final answer
   x = 25,092.68