Finding the Third Proportional to 493.25 and 1,003

Step by Step Solution

1. Step 1: Write the proportion equation
   493.25 : 1,003 = 1,003 : x
2. Step 2: Convert to fraction form
   493.25/1,003 = 1,003/x
3. Step 3: Cross multiply
   493.25x = 1,003 × 1,003
4. Step 4: Simplify right side
   493.25x = 1,006,009
5. Step 5: Solve for x
   x = 1,006,009/493.25
6. Step 6: Final answer
   x = 2,039.55