Finding the Third Proportional to 32,764,770,625,984 and 71,297,460,754,922

Step by Step Solution

1. Step 1: Write the proportion equation
   32,764,770,625,984 : 71,297,460,754,922 = 71,297,460,754,922 : x
2. Step 2: Convert to fraction form
   32,764,770,625,984/71,297,460,754,922 = 71,297,460,754,922/x
3. Step 3: Cross multiply
   32,764,770,625,984x = 71,297,460,754,922 × 71,297,460,754,922
4. Step 4: Simplify right side
   32,764,770,625,984x = 5,083,327,910,099,642,587,914,698,752
5. Step 5: Solve for x
   x = 5,083,327,910,099,642,587,914,698,752/32,764,770,625,984
6. Step 6: Final answer
   x = 155,146,146,699,050.16