Explanation:

The relationship between the first and second numbers is established by the formula $y = (x \times 5) - 3$. For the given pair $14:67$, we verify this: $14 \times 5 = 70$, and $70 - 3 = 67$. Applying the same rule to the third number, $19$: we calculate $19 \times 5 = 95$, and then $95 - 3 = 92$. Therefore, the missing number is $92$. Option (1) $92$ is the correct answer as it precisely follows the derived pattern. Option (2) $95$ would be $19 \times 5$, omitting the subtraction of $3$. Options (3) $96$ and (4) $99$ do not fit the established arithmetic progression.