Finding the Third Proportional to 3,676,447,111,736 and 8,045,456,270,666

Step by Step Solution

1. Step 1: Write the proportion equation
   3,676,447,111,736 : 8,045,456,270,666 = 8,045,456,270,666 : x
2. Step 2: Convert to fraction form
   3,676,447,111,736/8,045,456,270,666 = 8,045,456,270,666/x
3. Step 3: Cross multiply
   3,676,447,111,736x = 8,045,456,270,666 × 8,045,456,270,666
4. Step 4: Simplify right side
   3,676,447,111,736x = 64,729,366,603,198,862,788,132,864
5. Step 5: Solve for x
   x = 64,729,366,603,198,862,788,132,864/3,676,447,111,736
6. Step 6: Final answer
   x = 17,606,500,144,274.88