Finding the Third Proportional to 11,686 and 17,878

Step by Step Solution

1. Step 1: Write the proportion equation
   11,686 : 17,878 = 17,878 : x
2. Step 2: Convert to fraction form
   11,686/17,878 = 17,878/x
3. Step 3: Cross multiply
   11,686x = 17,878 × 17,878
4. Step 4: Simplify right side
   11,686x = 319,622,884
5. Step 5: Solve for x
   x = 319,622,884/11,686
6. Step 6: Final answer
   x = 27,350.92