Finding the Third Proportional to 11,144 and 18,556

Step by Step Solution

1. Step 1: Write the proportion equation
   11,144 : 18,556 = 18,556 : x
2. Step 2: Convert to fraction form
   11,144/18,556 = 18,556/x
3. Step 3: Cross multiply
   11,144x = 18,556 × 18,556
4. Step 4: Simplify right side
   11,144x = 344,325,136
5. Step 5: Solve for x
   x = 344,325,136/11,144
6. Step 6: Final answer
   x = 30,897.80