Finding the Third Proportional to 11,826 and 16,816.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,826 : 16,816.50 = 16,816.50 : x
2. Step 2: Convert to fraction form
   11,826/16,816.50 = 16,816.50/x
3. Step 3: Cross multiply
   11,826x = 16,816.50 × 16,816.50
4. Step 4: Simplify right side
   11,826x = 282,794,672.25
5. Step 5: Solve for x
   x = 282,794,672.25/11,826
6. Step 6: Final answer
   x = 23,912.96