Finding the Third Proportional to 2,080.69 and 5,649.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,080.69 : 5,649.75 = 5,649.75 : x
2. Step 2: Convert to fraction form
   2,080.69/5,649.75 = 5,649.75/x
3. Step 3: Cross multiply
   2,080.69x = 5,649.75 × 5,649.75
4. Step 4: Simplify right side
   2,080.69x = 31,919,675.06
5. Step 5: Solve for x
   x = 31,919,675.06/2,080.69
6. Step 6: Final answer
   x = 15,340.93