Finding the Third Proportional to 9,696 and 17,024

Step by Step Solution

1. Step 1: Write the proportion equation
   9,696 : 17,024 = 17,024 : x
2. Step 2: Convert to fraction form
   9,696/17,024 = 17,024/x
3. Step 3: Cross multiply
   9,696x = 17,024 × 17,024
4. Step 4: Simplify right side
   9,696x = 289,816,576
5. Step 5: Solve for x
   x = 289,816,576/9,696
6. Step 6: Final answer
   x = 29,890.32