Finding the Third Proportional to 2,206 and 2,410

Step by Step Solution

1. Step 1: Write the proportion equation
   2,206 : 2,410 = 2,410 : x
2. Step 2: Convert to fraction form
   2,206/2,410 = 2,410/x
3. Step 3: Cross multiply
   2,206x = 2,410 × 2,410
4. Step 4: Simplify right side
   2,206x = 5,808,100
5. Step 5: Solve for x
   x = 5,808,100/2,206
6. Step 6: Final answer
   x = 2,632.86