Finding the Third Proportional to 32,764,770,625,878 and 71,297,460,754,756

Step by Step Solution

1. Step 1: Write the proportion equation
   32,764,770,625,878 : 71,297,460,754,756 = 71,297,460,754,756 : x
2. Step 2: Convert to fraction form
   32,764,770,625,878/71,297,460,754,756 = 71,297,460,754,756/x
3. Step 3: Cross multiply
   32,764,770,625,878x = 71,297,460,754,756 × 71,297,460,754,756
4. Step 4: Simplify right side
   32,764,770,625,878x = 5,083,327,910,075,972,301,591,937,024
5. Step 5: Solve for x
   x = 5,083,327,910,075,972,301,591,937,024/32,764,770,625,878
6. Step 6: Final answer
   x = 155,146,146,698,829.62