Finding the Third Proportional to 14,675,188,137,764 and 31,926,901,286,146

Step by Step Solution

1. Step 1: Write the proportion equation
   14,675,188,137,764 : 31,926,901,286,146 = 31,926,901,286,146 : x
2. Step 2: Convert to fraction form
   14,675,188,137,764/31,926,901,286,146 = 31,926,901,286,146/x
3. Step 3: Cross multiply
   14,675,188,137,764x = 31,926,901,286,146 × 31,926,901,286,146
4. Step 4: Simplify right side
   14,675,188,137,764x = 1,019,327,025,735,311,137,496,367,104
5. Step 5: Solve for x
   x = 1,019,327,025,735,311,137,496,367,104/14,675,188,137,764
6. Step 6: Final answer
   x = 69,459,213,481,035.61