Finding the Third Proportional to 10,140,895,037 and 21,677,383,786

Step by Step Solution

1. Step 1: Write the proportion equation
   10,140,895,037 : 21,677,383,786 = 21,677,383,786 : x
2. Step 2: Convert to fraction form
   10,140,895,037/21,677,383,786 = 21,677,383,786/x
3. Step 3: Cross multiply
   10,140,895,037x = 21,677,383,786 × 21,677,383,786
4. Step 4: Simplify right side
   10,140,895,037x = 469,908,967,805,535,715,328
5. Step 5: Solve for x
   x = 469,908,967,805,535,715,328/10,140,895,037
6. Step 6: Final answer
   x = 46,338,017,116.93