Finding the Third Proportional to 10,012,584,788 and 21,766,770,664

Step by Step Solution

1. Step 1: Write the proportion equation
   10,012,584,788 : 21,766,770,664 = 21,766,770,664 : x
2. Step 2: Convert to fraction form
   10,012,584,788/21,766,770,664 = 21,766,770,664/x
3. Step 3: Cross multiply
   10,012,584,788x = 21,766,770,664 × 21,766,770,664
4. Step 4: Simplify right side
   10,012,584,788x = 473,792,305,139,171,000,320
5. Step 5: Solve for x
   x = 473,792,305,139,171,000,320/10,012,584,788
6. Step 6: Final answer
   x = 47,319,679,700.19