Finding the Third Proportional to 10,540 and 13,618

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540 : 13,618 = 13,618 : x
2. Step 2: Convert to fraction form
   10,540/13,618 = 13,618/x
3. Step 3: Cross multiply
   10,540x = 13,618 × 13,618
4. Step 4: Simplify right side
   10,540x = 185,449,924
5. Step 5: Solve for x
   x = 185,449,924/10,540
6. Step 6: Final answer
   x = 17,594.87