Finding the Third Proportional to 2,081.81 and 4,496.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,081.81 : 4,496.06 = 4,496.06 : x
2. Step 2: Convert to fraction form
   2,081.81/4,496.06 = 4,496.06/x
3. Step 3: Cross multiply
   2,081.81x = 4,496.06 × 4,496.06
4. Step 4: Simplify right side
   2,081.81x = 20,214,578.00
5. Step 5: Solve for x
   x = 20,214,578.00/2,081.81
6. Step 6: Final answer
   x = 9,710.09