Finding the Third Proportional to 11,166 and 23,952

Step by Step Solution

1. Step 1: Write the proportion equation
   11,166 : 23,952 = 23,952 : x
2. Step 2: Convert to fraction form
   11,166/23,952 = 23,952/x
3. Step 3: Cross multiply
   11,166x = 23,952 × 23,952
4. Step 4: Simplify right side
   11,166x = 573,698,304
5. Step 5: Solve for x
   x = 573,698,304/11,166
6. Step 6: Final answer
   x = 51,379.03