Finding the Third Proportional to 11,078 and 16,616.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,078 : 16,616.50 = 16,616.50 : x
2. Step 2: Convert to fraction form
   11,078/16,616.50 = 16,616.50/x
3. Step 3: Cross multiply
   11,078x = 16,616.50 × 16,616.50
4. Step 4: Simplify right side
   11,078x = 276,108,072.25
5. Step 5: Solve for x
   x = 276,108,072.25/11,078
6. Step 6: Final answer
   x = 24,924.00