Kaya Alp
Kaya Alp was, according to Ottoman tradition, the son of Kızıl Buğa and the father of Suleyman Shah, who was, in turn, the grandfather of Ertuğrul, and the great grandfather of the Ottoman Empire founder, Osman I.
Princess Alexandrine of Prussia (1842–1906)
Princess Frederica Wilhelmina Louise Elisabeth "Alexandrine" of Prussia (1 February 1842 – 26 March 1906) was a member of the House of Hohenzollern as the daughter of Prince Albert of Prussia and his wife Princess Marianne of the Netherlands.
Duke William of Mecklenburg-Schwerin
Willem of Mecklenburg-Schwerin (Ludwigsburg, 5 March 1827 - Heidelberg, 28 July 1879), was the second son of Hereditary Grand Duke Paul Friedrich of Mecklenburg and his wife Princess Alexandrine of Prussia, daughter of Frederick William III.
Princess Alexandrine of Prussia (1803–1892)
Princess Alexandrine of Prussia( 23 February 1803 – 21 April 1892) was Grand Duchess of Mecklenburg- Schwerin by marriage to Paul Frederick, Grand Duke of Mecklenburg- Schwerin.
She was the daughter of Frederick William III of Prussia and Louise of Mecklenburg- Strelitz.
Princess Alexandrine of Baden
Princess Alexandrine of Baden( Alexandrine Luise Amalie Friederike Elisabeth Sophie; 6 December 1820 – 20 December 1904) was the Duchess of Saxe- Coburg and Gotha as the wife of Ernest II.
She was the eldest child of Leopold, Grand Duke of Baden, and his wife Princess Sophie of Sweden.
Princess Charlotte of Prussia (1831–1855)
Princess Charlotte of Prussia( 21 June 1831 – 30 March 1855), was by birth a Princess of Prussia and member of the House of Hohenzollern and by marriage Hereditary Princess of Saxe- Meiningen.
She was the eldest child and daughter of Prince Albert of Prussia( younger son of Frederick William III of Prussia and Louise of Mecklenburg- Strelitz) and his first wife Princess Marianne of the Netherlands( daughter of William I of the Netherlands and Wilhelmine of Prussia).
Prince Albert of Prussia (1809–1872)
Prince Frederick Henry Albert of Prussia (4 October 1809 – 14 October 1872) was the fifth son and youngest child of King Frederick William III of Prussia and Louise of Mecklenburg-Strelitz.
His parents had fled to East Prussia after the occupation of Berlin by Napoleon, and Albert was born in Königsberg.
Two of Albert's elder brothers were Frederick William IV, King of Prussia from 1840 till 1861, and William I, King of Prussia from 1861 to 1888 and German Emperor from 1871 until 1888.
Abd al-Muttalib
Abd al- Muttalib Shaybah ibn Hashim( c. 497 – 578) was the grandfather of Islamic prophet Muhammad.
Princess Marie of Windisch-Graetz
Princess Marie of Windisch- Graetz( 11 December 1856 – 9 August 1929) was an Austrian noble.
She was the daughter of Hugo, Prince of Windisch- Grätz, and Princess Louise of Mecklenburg- Schwerin( herself the eldest daughter of Grand Duke Paul Frederick and Princess Alexandrine of Prussia).
Frederick Augustus II, Grand Duke of Oldenburg
Frederick Augustus II( 16 November 1852 in Oldenburg – 24 February 1931 in Rastede) was the last ruling Grand Duke of Oldenburg.
He married Princess Elisabeth Anna of Prussia, daughter of Princess Maria Anna of Anhalt- Dessau and Prince Frederick Charles of Prussia.
After her death, he married Elisabeth Alexandrine of Mecklenburg- Schwerin.

Question: Who is Princess Alexandrine Of Prussia (1842–1906)'s paternal grandfather?
Answer: Frederick William III of Prussia