Finding the Third Proportional to 3,997.69 and 5,992.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,997.69 : 5,992.31 = 5,992.31 : x
2. Step 2: Convert to fraction form
   3,997.69/5,992.31 = 5,992.31/x
3. Step 3: Cross multiply
   3,997.69x = 5,992.31 × 5,992.31
4. Step 4: Simplify right side
   3,997.69x = 35,907,809.10
5. Step 5: Solve for x
   x = 35,907,809.10/3,997.69
6. Step 6: Final answer
   x = 8,982.15