Finding the Third Proportional to 10,694 and 16,799

Step by Step Solution

1. Step 1: Write the proportion equation
   10,694 : 16,799 = 16,799 : x
2. Step 2: Convert to fraction form
   10,694/16,799 = 16,799/x
3. Step 3: Cross multiply
   10,694x = 16,799 × 16,799
4. Step 4: Simplify right side
   10,694x = 282,206,401
5. Step 5: Solve for x
   x = 282,206,401/10,694
6. Step 6: Final answer
   x = 26,389.23