Finding the Third Proportional to 6,461,204 and 14,096,016

Step by Step Solution

1. Step 1: Write the proportion equation
   6,461,204 : 14,096,016 = 14,096,016 : x
2. Step 2: Convert to fraction form
   6,461,204/14,096,016 = 14,096,016/x
3. Step 3: Cross multiply
   6,461,204x = 14,096,016 × 14,096,016
4. Step 4: Simplify right side
   6,461,204x = 198,697,667,072,256
5. Step 5: Solve for x
   x = 198,697,667,072,256/6,461,204
6. Step 6: Final answer
   x = 30,752,421.23