Finding the Third Proportional to 3,676,447,111,745 and 8,045,456,270,684

Step by Step Solution

1. Step 1: Write the proportion equation
   3,676,447,111,745 : 8,045,456,270,684 = 8,045,456,270,684 : x
2. Step 2: Convert to fraction form
   3,676,447,111,745/8,045,456,270,684 = 8,045,456,270,684/x
3. Step 3: Cross multiply
   3,676,447,111,745x = 8,045,456,270,684 × 8,045,456,270,684
4. Step 4: Simplify right side
   3,676,447,111,745x = 64,729,366,603,488,498,202,705,920
5. Step 5: Solve for x
   x = 64,729,366,603,488,498,202,705,920/3,676,447,111,745
6. Step 6: Final answer
   x = 17,606,500,144,310.56