Finding the Third Proportional to 31,595,043,181 and 65,805,189,338

Step by Step Solution

1. Step 1: Write the proportion equation
   31,595,043,181 : 65,805,189,338 = 65,805,189,338 : x
2. Step 2: Convert to fraction form
   31,595,043,181/65,805,189,338 = 65,805,189,338/x
3. Step 3: Cross multiply
   31,595,043,181x = 65,805,189,338 × 65,805,189,338
4. Step 4: Simplify right side
   31,595,043,181x = 4,330,322,943,810,028,961,792
5. Step 5: Solve for x
   x = 4,330,322,943,810,028,961,792/31,595,043,181
6. Step 6: Final answer
   x = 137,057,035,149.56