Finding the Third Proportional to 3,409,146,608,684 and 7,418,440,504,172

Step by Step Solution

1. Step 1: Write the proportion equation
   3,409,146,608,684 : 7,418,440,504,172 = 7,418,440,504,172 : x
2. Step 2: Convert to fraction form
   3,409,146,608,684/7,418,440,504,172 = 7,418,440,504,172/x
3. Step 3: Cross multiply
   3,409,146,608,684x = 7,418,440,504,172 × 7,418,440,504,172
4. Step 4: Simplify right side
   3,409,146,608,684x = 55,033,259,513,939,713,786,380,288
5. Step 5: Solve for x
   x = 55,033,259,513,939,713,786,380,288/3,409,146,608,684
6. Step 6: Final answer
   x = 16,142,825,707,100.84