Finding the Third Proportional to 10,676 and 14,054

Step by Step Solution

1. Step 1: Write the proportion equation
   10,676 : 14,054 = 14,054 : x
2. Step 2: Convert to fraction form
   10,676/14,054 = 14,054/x
3. Step 3: Cross multiply
   10,676x = 14,054 × 14,054
4. Step 4: Simplify right side
   10,676x = 197,514,916
5. Step 5: Solve for x
   x = 197,514,916/10,676
6. Step 6: Final answer
   x = 18,500.84