Finding the Third Proportional to 8,142 and 10,826

Step by Step Solution

1. Step 1: Write the proportion equation
   8,142 : 10,826 = 10,826 : x
2. Step 2: Convert to fraction form
   8,142/10,826 = 10,826/x
3. Step 3: Cross multiply
   8,142x = 10,826 × 10,826
4. Step 4: Simplify right side
   8,142x = 117,202,276
5. Step 5: Solve for x
   x = 117,202,276/8,142
6. Step 6: Final answer
   x = 14,394.78