Finding the Third Proportional to 510.75 and 1,008

Step by Step Solution

1. Step 1: Write the proportion equation
   510.75 : 1,008 = 1,008 : x
2. Step 2: Convert to fraction form
   510.75/1,008 = 1,008/x
3. Step 3: Cross multiply
   510.75x = 1,008 × 1,008
4. Step 4: Simplify right side
   510.75x = 1,016,064
5. Step 5: Solve for x
   x = 1,016,064/510.75
6. Step 6: Final answer
   x = 1,989.36