Finding the Third Proportional to 668.75 and 1,003.25

Step by Step Solution

1. Step 1: Write the proportion equation
   668.75 : 1,003.25 = 1,003.25 : x
2. Step 2: Convert to fraction form
   668.75/1,003.25 = 1,003.25/x
3. Step 3: Cross multiply
   668.75x = 1,003.25 × 1,003.25
4. Step 4: Simplify right side
   668.75x = 1,006,510.56
5. Step 5: Solve for x
   x = 1,006,510.56/668.75
6. Step 6: Final answer
   x = 1,505.06