Finding the Third Proportional to 9,628 and 17,204

Step by Step Solution

1. Step 1: Write the proportion equation
   9,628 : 17,204 = 17,204 : x
2. Step 2: Convert to fraction form
   9,628/17,204 = 17,204/x
3. Step 3: Cross multiply
   9,628x = 17,204 × 17,204
4. Step 4: Simplify right side
   9,628x = 295,977,616
5. Step 5: Solve for x
   x = 295,977,616/9,628
6. Step 6: Final answer
   x = 30,741.34