Finding the Third Proportional to 9,728 and 13,138

Step by Step Solution

1. Step 1: Write the proportion equation
   9,728 : 13,138 = 13,138 : x
2. Step 2: Convert to fraction form
   9,728/13,138 = 13,138/x
3. Step 3: Cross multiply
   9,728x = 13,138 × 13,138
4. Step 4: Simplify right side
   9,728x = 172,607,044
5. Step 5: Solve for x
   x = 172,607,044/9,728
6. Step 6: Final answer
   x = 17,743.32