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QUESTION: The initial amount of capital. Sorry for the omission. Thanks again.

ANSWER: I don't understand the question.

He starts with C in his account, then adds C/3 over the next three years. At the end of three years the account has

C + 3(C/3) - 15,000 = 2C - 15,000

It is not possible for the capital to double in three years, unless he makes no withdrawals.

---------- FOLLOW-UP ----------

QUESTION: If the capital was the current amount instead of initial, could the problem be solved then? Thanks.

ANSWER: Yes, that would work.

Each year he increases the capital account by ⅓ of its current balance.

https://www.flickr.com/photos/dwread/20389863765/

At the end of the third year, the balance is twice the starting capital:

https://www.flickr.com/photos/dwread/20389863785/

Starting capital = %55,500.

Balance, end of year 3: %111,000.00

---------- FOLLOW-UP ----------

QUESTION: I don't understand the following:

How the 4/3 is obtained.

https://www.flickr.com/photos/dwread/20389863765/: 3rd step.

https://www.flickr.com/photos/dwread/20389863785/: 2nd and third step. Thanks again.

If you increase x by ⅓ of x, the result is x + ⅓x = (4/3)x.

:::::

Deriving the equation for capital at the end of year n:

https://www.flickr.com/photos/dwread/19790058603/

:::::

Expanded calculation of capital at the end of year 3:

https://www.flickr.com/photos/dwread/20224402109/

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