Finding the Third Proportional to 10,990 and 16,408.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,990 : 16,408.50 = 16,408.50 : x
2. Step 2: Convert to fraction form
   10,990/16,408.50 = 16,408.50/x
3. Step 3: Cross multiply
   10,990x = 16,408.50 × 16,408.50
4. Step 4: Simplify right side
   10,990x = 269,238,872.25
5. Step 5: Solve for x
   x = 269,238,872.25/10,990
6. Step 6: Final answer
   x = 24,498.53