Finding the Third Proportional to 14,562,120,278,166 and 31,687,760,335,450

Step by Step Solution

1. Step 1: Write the proportion equation
   14,562,120,278,166 : 31,687,760,335,450 = 31,687,760,335,450 : x
2. Step 2: Convert to fraction form
   14,562,120,278,166/31,687,760,335,450 = 31,687,760,335,450/x
3. Step 3: Cross multiply
   14,562,120,278,166x = 31,687,760,335,450 × 31,687,760,335,450
4. Step 4: Simplify right side
   14,562,120,278,166x = 1,004,114,155,076,918,299,110,408,192
5. Step 5: Solve for x
   x = 1,004,114,155,076,918,299,110,408,192/14,562,120,278,166
6. Step 6: Final answer
   x = 68,953,842,977,279.66