Finding the Third Proportional to 10,780 and 16,183.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,780 : 16,183.50 = 16,183.50 : x
2. Step 2: Convert to fraction form
   10,780/16,183.50 = 16,183.50/x
3. Step 3: Cross multiply
   10,780x = 16,183.50 × 16,183.50
4. Step 4: Simplify right side
   10,780x = 261,905,672.25
5. Step 5: Solve for x
   x = 261,905,672.25/10,780
6. Step 6: Final answer
   x = 24,295.52