Finding the Third Proportional to 5,739,134,283,204 and 12,648,086,914,536

Step by Step Solution

1. Step 1: Write the proportion equation
   5,739,134,283,204 : 12,648,086,914,536 = 12,648,086,914,536 : x
2. Step 2: Convert to fraction form
   5,739,134,283,204/12,648,086,914,536 = 12,648,086,914,536/x
3. Step 3: Cross multiply
   5,739,134,283,204x = 12,648,086,914,536 × 12,648,086,914,536
4. Step 4: Simplify right side
   5,739,134,283,204x = 159,974,102,597,656,790,819,667,968
5. Step 5: Solve for x
   x = 159,974,102,597,656,790,819,667,968/5,739,134,283,204
6. Step 6: Final answer
   x = 27,874,256,761,308.55