Finding the Third Proportional to 8,856 and 14,142

Step by Step Solution

1. Step 1: Write the proportion equation
   8,856 : 14,142 = 14,142 : x
2. Step 2: Convert to fraction form
   8,856/14,142 = 14,142/x
3. Step 3: Cross multiply
   8,856x = 14,142 × 14,142
4. Step 4: Simplify right side
   8,856x = 199,996,164
5. Step 5: Solve for x
   x = 199,996,164/8,856
6. Step 6: Final answer
   x = 22,583.13