Finding the Third Proportional to 9,664 and 17,384

Step by Step Solution

1. Step 1: Write the proportion equation
   9,664 : 17,384 = 17,384 : x
2. Step 2: Convert to fraction form
   9,664/17,384 = 17,384/x
3. Step 3: Cross multiply
   9,664x = 17,384 × 17,384
4. Step 4: Simplify right side
   9,664x = 302,203,456
5. Step 5: Solve for x
   x = 302,203,456/9,664
6. Step 6: Final answer
   x = 31,271.05