Finding the Third Proportional to 2,196.28 and 4,081.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,196.28 : 4,081.22 = 4,081.22 : x
2. Step 2: Convert to fraction form
   2,196.28/4,081.22 = 4,081.22/x
3. Step 3: Cross multiply
   2,196.28x = 4,081.22 × 4,081.22
4. Step 4: Simplify right side
   2,196.28x = 16,656,346.49
5. Step 5: Solve for x
   x = 16,656,346.49/2,196.28
6. Step 6: Final answer
   x = 7,583.89