Finding the Third Proportional to 9,838 and 17,388

Step by Step Solution

1. Step 1: Write the proportion equation
   9,838 : 17,388 = 17,388 : x
2. Step 2: Convert to fraction form
   9,838/17,388 = 17,388/x
3. Step 3: Cross multiply
   9,838x = 17,388 × 17,388
4. Step 4: Simplify right side
   9,838x = 302,342,544
5. Step 5: Solve for x
   x = 302,342,544/9,838
6. Step 6: Final answer
   x = 30,732.11