Finding the Third Proportional to 666.50 and 1,033.25

Step by Step Solution

1. Step 1: Write the proportion equation
   666.50 : 1,033.25 = 1,033.25 : x
2. Step 2: Convert to fraction form
   666.50/1,033.25 = 1,033.25/x
3. Step 3: Cross multiply
   666.50x = 1,033.25 × 1,033.25
4. Step 4: Simplify right side
   666.50x = 1,067,605.56
5. Step 5: Solve for x
   x = 1,067,605.56/666.50
6. Step 6: Final answer
   x = 1,601.81