Finding the Third Proportional to 11,223 and 16,616

Step by Step Solution

1. Step 1: Write the proportion equation
   11,223 : 16,616 = 16,616 : x
2. Step 2: Convert to fraction form
   11,223/16,616 = 16,616/x
3. Step 3: Cross multiply
   11,223x = 16,616 × 16,616
4. Step 4: Simplify right side
   11,223x = 276,091,456
5. Step 5: Solve for x
   x = 276,091,456/11,223
6. Step 6: Final answer
   x = 24,600.50