Finding the Third Proportional to 14,775,019,288,841 and 31,773,628,175,034

Step by Step Solution

1. Step 1: Write the proportion equation
   14,775,019,288,841 : 31,773,628,175,034 = 31,773,628,175,034 : x
2. Step 2: Convert to fraction form
   14,775,019,288,841/31,773,628,175,034 = 31,773,628,175,034/x
3. Step 3: Cross multiply
   14,775,019,288,841x = 31,773,628,175,034 × 31,773,628,175,034
4. Step 4: Simplify right side
   14,775,019,288,841x = 1,009,563,447,405,314,408,240,381,952
5. Step 5: Solve for x
   x = 1,009,563,447,405,314,408,240,381,952/14,775,019,288,841
6. Step 6: Final answer
   x = 68,329,078,133,102.58