Finding the Third Proportional to 10,344 and 13,648

Step by Step Solution

1. Step 1: Write the proportion equation
   10,344 : 13,648 = 13,648 : x
2. Step 2: Convert to fraction form
   10,344/13,648 = 13,648/x
3. Step 3: Cross multiply
   10,344x = 13,648 × 13,648
4. Step 4: Simplify right side
   10,344x = 186,267,904
5. Step 5: Solve for x
   x = 186,267,904/10,344
6. Step 6: Final answer
   x = 18,007.34