Finding the Third Proportional to 2,001.16 and 3,215.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,001.16 : 3,215.31 = 3,215.31 : x
2. Step 2: Convert to fraction form
   2,001.16/3,215.31 = 3,215.31/x
3. Step 3: Cross multiply
   2,001.16x = 3,215.31 × 3,215.31
4. Step 4: Simplify right side
   2,001.16x = 10,338,234.47
5. Step 5: Solve for x
   x = 10,338,234.47/2,001.16
6. Step 6: Final answer
   x = 5,166.13