Finding the Third Proportional to 14,562,120,278,161 and 31,687,760,335,435

Step by Step Solution

1. Step 1: Write the proportion equation
   14,562,120,278,161 : 31,687,760,335,435 = 31,687,760,335,435 : x
2. Step 2: Convert to fraction form
   14,562,120,278,161/31,687,760,335,435 = 31,687,760,335,435/x
3. Step 3: Cross multiply
   14,562,120,278,161x = 31,687,760,335,435 × 31,687,760,335,435
4. Step 4: Simplify right side
   14,562,120,278,161x = 1,004,114,155,075,967,633,869,242,368
5. Step 5: Solve for x
   x = 1,004,114,155,075,967,633,869,242,368/14,562,120,278,161
6. Step 6: Final answer
   x = 68,953,842,977,238.05