Finding the Third Proportional to 5,419.69 and 11,821.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,419.69 : 11,821.69 = 11,821.69 : x
2. Step 2: Convert to fraction form
   5,419.69/11,821.69 = 11,821.69/x
3. Step 3: Cross multiply
   5,419.69x = 11,821.69 × 11,821.69
4. Step 4: Simplify right side
   5,419.69x = 139,752,295.35
5. Step 5: Solve for x
   x = 139,752,295.35/5,419.69
6. Step 6: Final answer
   x = 25,786.04