Finding the Third Proportional to 14,562,120,278,168 and 31,687,760,335,454

Step by Step Solution

1. Step 1: Write the proportion equation
   14,562,120,278,168 : 31,687,760,335,454 = 31,687,760,335,454 : x
2. Step 2: Convert to fraction form
   14,562,120,278,168/31,687,760,335,454 = 31,687,760,335,454/x
3. Step 3: Cross multiply
   14,562,120,278,168x = 31,687,760,335,454 × 31,687,760,335,454
4. Step 4: Simplify right side
   14,562,120,278,168x = 1,004,114,155,077,171,736,540,610,560
5. Step 5: Solve for x
   x = 1,004,114,155,077,171,736,540,610,560/14,562,120,278,168
6. Step 6: Final answer
   x = 68,953,842,977,287.59