Finding the Third Proportional to 2,081.25 and 4,582.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,081.25 : 4,582.13 = 4,582.13 : x
2. Step 2: Convert to fraction form
   2,081.25/4,582.13 = 4,582.13/x
3. Step 3: Cross multiply
   2,081.25x = 4,582.13 × 4,582.13
4. Step 4: Simplify right side
   2,081.25x = 20,995,869.52
5. Step 5: Solve for x
   x = 20,995,869.52/2,081.25
6. Step 6: Final answer
   x = 10,088.11