Finding the Third Proportional to 2,009.81 and 4,080.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,009.81 : 4,080.38 = 4,080.38 : x
2. Step 2: Convert to fraction form
   2,009.81/4,080.38 = 4,080.38/x
3. Step 3: Cross multiply
   2,009.81x = 4,080.38 × 4,080.38
4. Step 4: Simplify right side
   2,009.81x = 16,649,460.14
5. Step 5: Solve for x
   x = 16,649,460.14/2,009.81
6. Step 6: Final answer
   x = 8,284.09