Finding the Third Proportional to 6,942,082,081 and 10,575,544,784

Step by Step Solution

1. Step 1: Write the proportion equation
   6,942,082,081 : 10,575,544,784 = 10,575,544,784 : x
2. Step 2: Convert to fraction form
   6,942,082,081/10,575,544,784 = 10,575,544,784/x
3. Step 3: Cross multiply
   6,942,082,081x = 10,575,544,784 × 10,575,544,784
4. Step 4: Simplify right side
   6,942,082,081x = 111,842,147,478,389,604,352
5. Step 5: Solve for x
   x = 111,842,147,478,389,604,352/6,942,082,081
6. Step 6: Final answer
   x = 16,110,749,797.17