Finding the Third Proportional to 8,186 and 10,886

Step by Step Solution

1. Step 1: Write the proportion equation
   8,186 : 10,886 = 10,886 : x
2. Step 2: Convert to fraction form
   8,186/10,886 = 10,886/x
3. Step 3: Cross multiply
   8,186x = 10,886 × 10,886
4. Step 4: Simplify right side
   8,186x = 118,504,996
5. Step 5: Solve for x
   x = 118,504,996/8,186
6. Step 6: Final answer
   x = 14,476.54