Finding the Third Proportional to 11,096 and 16,742

Step by Step Solution

1. Step 1: Write the proportion equation
   11,096 : 16,742 = 16,742 : x
2. Step 2: Convert to fraction form
   11,096/16,742 = 16,742/x
3. Step 3: Cross multiply
   11,096x = 16,742 × 16,742
4. Step 4: Simplify right side
   11,096x = 280,294,564
5. Step 5: Solve for x
   x = 280,294,564/11,096
6. Step 6: Final answer
   x = 25,260.87