Finding the Third Proportional to 16,843 and 25,778

Step by Step Solution

1. Step 1: Write the proportion equation
   16,843 : 25,778 = 25,778 : x
2. Step 2: Convert to fraction form
   16,843/25,778 = 25,778/x
3. Step 3: Cross multiply
   16,843x = 25,778 × 25,778
4. Step 4: Simplify right side
   16,843x = 664,505,284
5. Step 5: Solve for x
   x = 664,505,284/16,843
6. Step 6: Final answer
   x = 39,452.91