Finding the Third Proportional to 2,563.31 and 3,992.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563.31 : 3,992.63 = 3,992.63 : x
2. Step 2: Convert to fraction form
   2,563.31/3,992.63 = 3,992.63/x
3. Step 3: Cross multiply
   2,563.31x = 3,992.63 × 3,992.63
4. Step 4: Simplify right side
   2,563.31x = 15,941,054.39
5. Step 5: Solve for x
   x = 15,941,054.39/2,563.31
6. Step 6: Final answer
   x = 6,218.93