Finding the Third Proportional to 11,566 and 15,144

Step by Step Solution

1. Step 1: Write the proportion equation
   11,566 : 15,144 = 15,144 : x
2. Step 2: Convert to fraction form
   11,566/15,144 = 15,144/x
3. Step 3: Cross multiply
   11,566x = 15,144 × 15,144
4. Step 4: Simplify right side
   11,566x = 229,340,736
5. Step 5: Solve for x
   x = 229,340,736/11,566
6. Step 6: Final answer
   x = 19,828.87