Finding the Third Proportional to 11,540 and 18,222

Step by Step Solution

1. Step 1: Write the proportion equation
   11,540 : 18,222 = 18,222 : x
2. Step 2: Convert to fraction form
   11,540/18,222 = 18,222/x
3. Step 3: Cross multiply
   11,540x = 18,222 × 18,222
4. Step 4: Simplify right side
   11,540x = 332,041,284
5. Step 5: Solve for x
   x = 332,041,284/11,540
6. Step 6: Final answer
   x = 28,773.07