Finding the Third Proportional to 10,206 and 13,986

Step by Step Solution

1. Step 1: Write the proportion equation
   10,206 : 13,986 = 13,986 : x
2. Step 2: Convert to fraction form
   10,206/13,986 = 13,986/x
3. Step 3: Cross multiply
   10,206x = 13,986 × 13,986
4. Step 4: Simplify right side
   10,206x = 195,608,196
5. Step 5: Solve for x
   x = 195,608,196/10,206
6. Step 6: Final answer
   x = 19,166