Finding the Third Proportional to 11,152 and 16,816

Step by Step Solution

1. Step 1: Write the proportion equation
   11,152 : 16,816 = 16,816 : x
2. Step 2: Convert to fraction form
   11,152/16,816 = 16,816/x
3. Step 3: Cross multiply
   11,152x = 16,816 × 16,816
4. Step 4: Simplify right side
   11,152x = 282,777,856
5. Step 5: Solve for x
   x = 282,777,856/11,152
6. Step 6: Final answer
   x = 25,356.69