Finding the Third Proportional to 10,744 and 16,600

Step by Step Solution

1. Step 1: Write the proportion equation
   10,744 : 16,600 = 16,600 : x
2. Step 2: Convert to fraction form
   10,744/16,600 = 16,600/x
3. Step 3: Cross multiply
   10,744x = 16,600 × 16,600
4. Step 4: Simplify right side
   10,744x = 275,560,000
5. Step 5: Solve for x
   x = 275,560,000/10,744
6. Step 6: Final answer
   x = 25,647.80