Finding the Third Proportional to 2,021.91 and 4,286.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,021.91 : 4,286.81 = 4,286.81 : x
2. Step 2: Convert to fraction form
   2,021.91/4,286.81 = 4,286.81/x
3. Step 3: Cross multiply
   2,021.91x = 4,286.81 × 4,286.81
4. Step 4: Simplify right side
   2,021.91x = 18,376,761.41
5. Step 5: Solve for x
   x = 18,376,761.41/2,021.91
6. Step 6: Final answer
   x = 9,088.83