Finding the Third Proportional to 12,766 and 19,618

Step by Step Solution

1. Step 1: Write the proportion equation
   12,766 : 19,618 = 19,618 : x
2. Step 2: Convert to fraction form
   12,766/19,618 = 19,618/x
3. Step 3: Cross multiply
   12,766x = 19,618 × 19,618
4. Step 4: Simplify right side
   12,766x = 384,865,924
5. Step 5: Solve for x
   x = 384,865,924/12,766
6. Step 6: Final answer
   x = 30,147.73