Finding the Third Proportional to 3,386,617,803,740 and 5,177,109,505,796

Step by Step Solution

1. Step 1: Write the proportion equation
   3,386,617,803,740 : 5,177,109,505,796 = 5,177,109,505,796 : x
2. Step 2: Convert to fraction form
   3,386,617,803,740/5,177,109,505,796 = 5,177,109,505,796/x
3. Step 3: Cross multiply
   3,386,617,803,740x = 5,177,109,505,796 × 5,177,109,505,796
4. Step 4: Simplify right side
   3,386,617,803,740x = 26,802,462,835,003,301,400,936,448
5. Step 5: Solve for x
   x = 26,802,462,835,003,301,400,936,448/3,386,617,803,740
6. Step 6: Final answer
   x = 7,914,227,228,535.82