Finding the Third Proportional to 11,164 and 24,036

Step by Step Solution

1. Step 1: Write the proportion equation
   11,164 : 24,036 = 24,036 : x
2. Step 2: Convert to fraction form
   11,164/24,036 = 24,036/x
3. Step 3: Cross multiply
   11,164x = 24,036 × 24,036
4. Step 4: Simplify right side
   11,164x = 577,729,296
5. Step 5: Solve for x
   x = 577,729,296/11,164
6. Step 6: Final answer
   x = 51,749.31