Finding the Third Proportional to 14,562,120,278,182 and 31,687,760,335,476

Step by Step Solution

1. Step 1: Write the proportion equation
   14,562,120,278,182 : 31,687,760,335,476 = 31,687,760,335,476 : x
2. Step 2: Convert to fraction form
   14,562,120,278,182/31,687,760,335,476 = 31,687,760,335,476/x
3. Step 3: Cross multiply
   14,562,120,278,182x = 31,687,760,335,476 × 31,687,760,335,476
4. Step 4: Simplify right side
   14,562,120,278,182x = 1,004,114,155,078,566,054,723,584,000
5. Step 5: Solve for x
   x = 1,004,114,155,078,566,054,723,584,000/14,562,120,278,182
6. Step 6: Final answer
   x = 68,953,842,977,317.05