 Hello to all and welcome to the session. Here the question is if x, 10, 5, y are in continued proportion, find x and y. Now before starting the solution, we should know about the result of proportion and that is if a, b, c and e are in continued proportion then a over b is equal to b over c is equal to c over d. Now this will work as the key idea for solving out this question. And now we will start with the solution given x, 10, 5, y are in continued proportion. Therefore by using the key idea if four terms are in a continued proportion then we can write it as x over 10 is equal to 10 over 5 is equal to 5 over 5. This implies x over 10 is equal to 10 over 5 and 10 over 5 and y is equal to 5 over 5 over 10. Now here 5 into 2 is equal to 10 and here 5 into 2 is again equal to 10. So this implies x is equal to 2 into 10 that is 20 and y is equal to 5 by 2. Therefore the values of x and y are x is equal to 20 and y is equal to 5 by 2. So this is the solution for this question and that's all for this session and I hope you have enjoyed the session.