Finding the Third Proportional to 2,086.13 and 4,535.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,086.13 : 4,535.25 = 4,535.25 : x
2. Step 2: Convert to fraction form
   2,086.13/4,535.25 = 4,535.25/x
3. Step 3: Cross multiply
   2,086.13x = 4,535.25 × 4,535.25
4. Step 4: Simplify right side
   2,086.13x = 20,568,492.56
5. Step 5: Solve for x
   x = 20,568,492.56/2,086.13
6. Step 6: Final answer
   x = 9,859.66