Finding the Third Proportional to 10,579.78 and 22,617.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,579.78 : 22,617.56 = 22,617.56 : x
2. Step 2: Convert to fraction form
   10,579.78/22,617.56 = 22,617.56/x
3. Step 3: Cross multiply
   10,579.78x = 22,617.56 × 22,617.56
4. Step 4: Simplify right side
   10,579.78x = 511,554,133.44
5. Step 5: Solve for x
   x = 511,554,133.44/10,579.78
6. Step 6: Final answer
   x = 48,352.05