Finding the Third Proportional to 10,648 and 17,444

Step by Step Solution

1. Step 1: Write the proportion equation
   10,648 : 17,444 = 17,444 : x
2. Step 2: Convert to fraction form
   10,648/17,444 = 17,444/x
3. Step 3: Cross multiply
   10,648x = 17,444 × 17,444
4. Step 4: Simplify right side
   10,648x = 304,293,136
5. Step 5: Solve for x
   x = 304,293,136/10,648
6. Step 6: Final answer
   x = 28,577.49