Finding the Third Proportional to 2,206 and 4,826

Step by Step Solution

1. Step 1: Write the proportion equation
   2,206 : 4,826 = 4,826 : x
2. Step 2: Convert to fraction form
   2,206/4,826 = 4,826/x
3. Step 3: Cross multiply
   2,206x = 4,826 × 4,826
4. Step 4: Simplify right side
   2,206x = 23,290,276
5. Step 5: Solve for x
   x = 23,290,276/2,206
6. Step 6: Final answer
   x = 10,557.70