Finding the Third Proportional to 2,085.75 and 4,581.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.75 : 4,581.56 = 4,581.56 : x
2. Step 2: Convert to fraction form
   2,085.75/4,581.56 = 4,581.56/x
3. Step 3: Cross multiply
   2,085.75x = 4,581.56 × 4,581.56
4. Step 4: Simplify right side
   2,085.75x = 20,990,714.94
5. Step 5: Solve for x
   x = 20,990,714.94/2,085.75
6. Step 6: Final answer
   x = 10,063.87