Finding the Third Proportional to 16,805 and 25,694

Step by Step Solution

1. Step 1: Write the proportion equation
   16,805 : 25,694 = 25,694 : x
2. Step 2: Convert to fraction form
   16,805/25,694 = 25,694/x
3. Step 3: Cross multiply
   16,805x = 25,694 × 25,694
4. Step 4: Simplify right side
   16,805x = 660,181,636
5. Step 5: Solve for x
   x = 660,181,636/16,805
6. Step 6: Final answer
   x = 39,284.83