Finding the Third Proportional to 2,206.69 and 4,857.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,206.69 : 4,857.56 = 4,857.56 : x
2. Step 2: Convert to fraction form
   2,206.69/4,857.56 = 4,857.56/x
3. Step 3: Cross multiply
   2,206.69x = 4,857.56 × 4,857.56
4. Step 4: Simplify right side
   2,206.69x = 23,595,913.44
5. Step 5: Solve for x
   x = 23,595,913.44/2,206.69
6. Step 6: Final answer
   x = 10,692.91