Finding the Third Proportional to 32,764,770,625,860 and 71,297,460,754,726

Step by Step Solution

1. Step 1: Write the proportion equation
   32,764,770,625,860 : 71,297,460,754,726 = 71,297,460,754,726 : x
2. Step 2: Convert to fraction form
   32,764,770,625,860/71,297,460,754,726 = 71,297,460,754,726/x
3. Step 3: Cross multiply
   32,764,770,625,860x = 71,297,460,754,726 × 71,297,460,754,726
4. Step 4: Simplify right side
   32,764,770,625,860x = 5,083,327,910,071,694,101,848,260,608
5. Step 5: Solve for x
   x = 5,083,327,910,071,694,101,848,260,608/32,764,770,625,860
6. Step 6: Final answer
   x = 155,146,146,698,784.28