Finding the Third Proportional to 11,826 and 16,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,826 : 16,078.50 = 16,078.50 : x
2. Step 2: Convert to fraction form
   11,826/16,078.50 = 16,078.50/x
3. Step 3: Cross multiply
   11,826x = 16,078.50 × 16,078.50
4. Step 4: Simplify right side
   11,826x = 258,518,162.25
5. Step 5: Solve for x
   x = 258,518,162.25/11,826
6. Step 6: Final answer
   x = 21,860.15