Finding the Third Proportional to 8,162,699,390,642 and 17,536,769,647,204

Step by Step Solution

1. Step 1: Write the proportion equation
   8,162,699,390,642 : 17,536,769,647,204 = 17,536,769,647,204 : x
2. Step 2: Convert to fraction form
   8,162,699,390,642/17,536,769,647,204 = 17,536,769,647,204/x
3. Step 3: Cross multiply
   8,162,699,390,642x = 17,536,769,647,204 × 17,536,769,647,204
4. Step 4: Simplify right side
   8,162,699,390,642x = 307,538,289,659,095,519,768,608,768
5. Step 5: Solve for x
   x = 307,538,289,659,095,519,768,608,768/8,162,699,390,642
6. Step 6: Final answer
   x = 37,676,052,362,245.27