Finding the Third Proportional to 11,986 and 14,146

Step by Step Solution

1. Step 1: Write the proportion equation
   11,986 : 14,146 = 14,146 : x
2. Step 2: Convert to fraction form
   11,986/14,146 = 14,146/x
3. Step 3: Cross multiply
   11,986x = 14,146 × 14,146
4. Step 4: Simplify right side
   11,986x = 200,109,316
5. Step 5: Solve for x
   x = 200,109,316/11,986
6. Step 6: Final answer
   x = 16,695.25