Finding the Third Proportional to 11,646 and 17,814

Step by Step Solution

1. Step 1: Write the proportion equation
   11,646 : 17,814 = 17,814 : x
2. Step 2: Convert to fraction form
   11,646/17,814 = 17,814/x
3. Step 3: Cross multiply
   11,646x = 17,814 × 17,814
4. Step 4: Simplify right side
   11,646x = 317,338,596
5. Step 5: Solve for x
   x = 317,338,596/11,646
6. Step 6: Final answer
   x = 27,248.72