Finding the Third Proportional to 11,164 and 15,216

Step by Step Solution

1. Step 1: Write the proportion equation
   11,164 : 15,216 = 15,216 : x
2. Step 2: Convert to fraction form
   11,164/15,216 = 15,216/x
3. Step 3: Cross multiply
   11,164x = 15,216 × 15,216
4. Step 4: Simplify right side
   11,164x = 231,526,656
5. Step 5: Solve for x
   x = 231,526,656/11,164
6. Step 6: Final answer
   x = 20,738.68