Finding the Third Proportional to 14,562,120,278,164 and 31,687,760,335,446

Step by Step Solution

1. Step 1: Write the proportion equation
   14,562,120,278,164 : 31,687,760,335,446 = 31,687,760,335,446 : x
2. Step 2: Convert to fraction form
   14,562,120,278,164/31,687,760,335,446 = 31,687,760,335,446/x
3. Step 3: Cross multiply
   14,562,120,278,164x = 31,687,760,335,446 × 31,687,760,335,446
4. Step 4: Simplify right side
   14,562,120,278,164x = 1,004,114,155,076,664,861,680,205,824
5. Step 5: Solve for x
   x = 1,004,114,155,076,664,861,680,205,824/14,562,120,278,164
6. Step 6: Final answer
   x = 68,953,842,977,271.72