Finding the Third Proportional to 2,588,392,958,064 and 5,627,309,546,160

Step by Step Solution

1. Step 1: Write the proportion equation
   2,588,392,958,064 : 5,627,309,546,160 = 5,627,309,546,160 : x
2. Step 2: Convert to fraction form
   2,588,392,958,064/5,627,309,546,160 = 5,627,309,546,160/x
3. Step 3: Cross multiply
   2,588,392,958,064x = 5,627,309,546,160 × 5,627,309,546,160
4. Step 4: Simplify right side
   2,588,392,958,064x = 31,666,612,728,303,463,417,511,936
5. Step 5: Solve for x
   x = 31,666,612,728,303,463,417,511,936/2,588,392,958,064
6. Step 6: Final answer
   x = 12,234,082,398,365.29