Finding the Third Proportional to 5,891 and 10,834

Step by Step Solution

1. Step 1: Write the proportion equation
   5,891 : 10,834 = 10,834 : x
2. Step 2: Convert to fraction form
   5,891/10,834 = 10,834/x
3. Step 3: Cross multiply
   5,891x = 10,834 × 10,834
4. Step 4: Simplify right side
   5,891x = 117,375,556
5. Step 5: Solve for x
   x = 117,375,556/5,891
6. Step 6: Final answer
   x = 19,924.56