Finding the Third Proportional to 2,080.69 and 4,560.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,080.69 : 4,560.05 = 4,560.05 : x
2. Step 2: Convert to fraction form
   2,080.69/4,560.05 = 4,560.05/x
3. Step 3: Cross multiply
   2,080.69x = 4,560.05 × 4,560.05
4. Step 4: Simplify right side
   2,080.69x = 20,794,027.50
5. Step 5: Solve for x
   x = 20,794,027.50/2,080.69
6. Step 6: Final answer
   x = 9,993.83