Finding the Third Proportional to 8,002,163,698,900 and 10,796,797,694,164

Step by Step Solution

1. Step 1: Write the proportion equation
   8,002,163,698,900 : 10,796,797,694,164 = 10,796,797,694,164 : x
2. Step 2: Convert to fraction form
   8,002,163,698,900/10,796,797,694,164 = 10,796,797,694,164/x
3. Step 3: Cross multiply
   8,002,163,698,900x = 10,796,797,694,164 × 10,796,797,694,164
4. Step 4: Simplify right side
   8,002,163,698,900x = 116,570,840,448,705,060,761,763,840
5. Step 5: Solve for x
   x = 116,570,840,448,705,060,761,763,840/8,002,163,698,900
6. Step 6: Final answer
   x = 14,567,415,118,579.64