Finding the Third Proportional to 2,563.31 and 3,845.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563.31 : 3,845.81 = 3,845.81 : x
2. Step 2: Convert to fraction form
   2,563.31/3,845.81 = 3,845.81/x
3. Step 3: Cross multiply
   2,563.31x = 3,845.81 × 3,845.81
4. Step 4: Simplify right side
   2,563.31x = 14,790,273.79
5. Step 5: Solve for x
   x = 14,790,273.79/2,563.31
6. Step 6: Final answer
   x = 5,769.98