Finding the Third Proportional to 3,854,274,470,322 and 5,831,064,080,361

Step by Step Solution

1. Step 1: Write the proportion equation
   3,854,274,470,322 : 5,831,064,080,361 = 5,831,064,080,361 : x
2. Step 2: Convert to fraction form
   3,854,274,470,322/5,831,064,080,361 = 5,831,064,080,361/x
3. Step 3: Cross multiply
   3,854,274,470,322x = 5,831,064,080,361 × 5,831,064,080,361
4. Step 4: Simplify right side
   3,854,274,470,322x = 34,001,308,309,276,275,775,635,456
5. Step 5: Solve for x
   x = 34,001,308,309,276,275,775,635,456/3,854,274,470,322
6. Step 6: Final answer
   x = 8,821,714,325,507.20