Finding the Third Proportional to 3,394,966,339,274 and 7,404,385,856,494

Step by Step Solution

1. Step 1: Write the proportion equation
   3,394,966,339,274 : 7,404,385,856,494 = 7,404,385,856,494 : x
2. Step 2: Convert to fraction form
   3,394,966,339,274/7,404,385,856,494 = 7,404,385,856,494/x
3. Step 3: Cross multiply
   3,394,966,339,274x = 7,404,385,856,494 × 7,404,385,856,494
4. Step 4: Simplify right side
   3,394,966,339,274x = 54,824,929,911,848,387,687,219,200
5. Step 5: Solve for x
   x = 54,824,929,911,848,387,687,219,200/3,394,966,339,274
6. Step 6: Final answer
   x = 16,148,887,627,431.52