Finding the Third Proportional to 410.50 and 1,006

Step by Step Solution

1. Step 1: Write the proportion equation
   410.50 : 1,006 = 1,006 : x
2. Step 2: Convert to fraction form
   410.50/1,006 = 1,006/x
3. Step 3: Cross multiply
   410.50x = 1,006 × 1,006
4. Step 4: Simplify right side
   410.50x = 1,012,036
5. Step 5: Solve for x
   x = 1,012,036/410.50
6. Step 6: Final answer
   x = 2,465.37