Finding the Third Proportional to 2,004.19 and 3,185.44

Step by Step Solution

1. Step 1: Write the proportion equation
   2,004.19 : 3,185.44 = 3,185.44 : x
2. Step 2: Convert to fraction form
   2,004.19/3,185.44 = 3,185.44/x
3. Step 3: Cross multiply
   2,004.19x = 3,185.44 × 3,185.44
4. Step 4: Simplify right side
   2,004.19x = 10,147,012.07
5. Step 5: Solve for x
   x = 10,147,012.07/2,004.19
6. Step 6: Final answer
   x = 5,062.91