Finding the Third Proportional to 12,678 and 16,826

Step by Step Solution

1. Step 1: Write the proportion equation
   12,678 : 16,826 = 16,826 : x
2. Step 2: Convert to fraction form
   12,678/16,826 = 16,826/x
3. Step 3: Cross multiply
   12,678x = 16,826 × 16,826
4. Step 4: Simplify right side
   12,678x = 283,114,276
5. Step 5: Solve for x
   x = 283,114,276/12,678
6. Step 6: Final answer
   x = 22,331.15