Finding the Third Proportional to 5,620,175,327,610 and 7,582,936,103,427

Step by Step Solution

1. Step 1: Write the proportion equation
   5,620,175,327,610 : 7,582,936,103,427 = 7,582,936,103,427 : x
2. Step 2: Convert to fraction form
   5,620,175,327,610/7,582,936,103,427 = 7,582,936,103,427/x
3. Step 3: Cross multiply
   5,620,175,327,610x = 7,582,936,103,427 × 7,582,936,103,427
4. Step 4: Simplify right side
   5,620,175,327,610x = 57,500,919,948,656,650,024,386,560
5. Step 5: Solve for x
   x = 57,500,919,948,656,650,024,386,560/5,620,175,327,610
6. Step 6: Final answer
   x = 10,231,161,235,517.74