Finding the Third Proportional to 1,006 and 2,410

Step by Step Solution

1. Step 1: Write the proportion equation
   1,006 : 2,410 = 2,410 : x
2. Step 2: Convert to fraction form
   1,006/2,410 = 2,410/x
3. Step 3: Cross multiply
   1,006x = 2,410 × 2,410
4. Step 4: Simplify right side
   1,006x = 5,808,100
5. Step 5: Solve for x
   x = 5,808,100/1,006
6. Step 6: Final answer
   x = 5,773.46