Finding the Third Proportional to 3,676,447,111,735 and 8,045,456,270,664

Step by Step Solution

1. Step 1: Write the proportion equation
   3,676,447,111,735 : 8,045,456,270,664 = 8,045,456,270,664 : x
2. Step 2: Convert to fraction form
   3,676,447,111,735/8,045,456,270,664 = 8,045,456,270,664/x
3. Step 3: Cross multiply
   3,676,447,111,735x = 8,045,456,270,664 × 8,045,456,270,664
4. Step 4: Simplify right side
   3,676,447,111,735x = 64,729,366,603,166,676,303,216,640
5. Step 5: Solve for x
   x = 64,729,366,603,166,676,303,216,640/3,676,447,111,735
6. Step 6: Final answer
   x = 17,606,500,144,270.92