Finding the Third Proportional to 2,588,392,958,067 and 5,627,309,546,166

Step by Step Solution

1. Step 1: Write the proportion equation
   2,588,392,958,067 : 5,627,309,546,166 = 5,627,309,546,166 : x
2. Step 2: Convert to fraction form
   2,588,392,958,067/5,627,309,546,166 = 5,627,309,546,166/x
3. Step 3: Cross multiply
   2,588,392,958,067x = 5,627,309,546,166 × 5,627,309,546,166
4. Step 4: Simplify right side
   2,588,392,958,067x = 31,666,612,728,370,993,188,306,944
5. Step 5: Solve for x
   x = 31,666,612,728,370,993,188,306,944/2,588,392,958,067
6. Step 6: Final answer
   x = 12,234,082,398,377.21