Finding the Third Proportional to 14,562,120,278,184 and 31,687,760,335,488

Step by Step Solution

1. Step 1: Write the proportion equation
   14,562,120,278,184 : 31,687,760,335,488 = 31,687,760,335,488 : x
2. Step 2: Convert to fraction form
   14,562,120,278,184/31,687,760,335,488 = 31,687,760,335,488/x
3. Step 3: Cross multiply
   14,562,120,278,184x = 31,687,760,335,488 × 31,687,760,335,488
4. Step 4: Simplify right side
   14,562,120,278,184x = 1,004,114,155,079,326,504,453,144,576
5. Step 5: Solve for x
   x = 1,004,114,155,079,326,504,453,144,576/14,562,120,278,184
6. Step 6: Final answer
   x = 68,953,842,977,359.80