Finding the Third Proportional to 2,080.69 and 4,561.95

Step by Step Solution

1. Step 1: Write the proportion equation
   2,080.69 : 4,561.95 = 4,561.95 : x
2. Step 2: Convert to fraction form
   2,080.69/4,561.95 = 4,561.95/x
3. Step 3: Cross multiply
   2,080.69x = 4,561.95 × 4,561.95
4. Step 4: Simplify right side
   2,080.69x = 20,811,345.03
5. Step 5: Solve for x
   x = 20,811,345.03/2,080.69
6. Step 6: Final answer
   x = 10,002.15