Finding the Third Proportional to 9,568 and 17,096

Step by Step Solution

1. Step 1: Write the proportion equation
   9,568 : 17,096 = 17,096 : x
2. Step 2: Convert to fraction form
   9,568/17,096 = 17,096/x
3. Step 3: Cross multiply
   9,568x = 17,096 × 17,096
4. Step 4: Simplify right side
   9,568x = 292,273,216
5. Step 5: Solve for x
   x = 292,273,216/9,568
6. Step 6: Final answer
   x = 30,546.95