Finding the Third Proportional to 666 and 1,433.25

Step by Step Solution

1. Step 1: Write the proportion equation
   666 : 1,433.25 = 1,433.25 : x
2. Step 2: Convert to fraction form
   666/1,433.25 = 1,433.25/x
3. Step 3: Cross multiply
   666x = 1,433.25 × 1,433.25
4. Step 4: Simplify right side
   666x = 2,054,205.56
5. Step 5: Solve for x
   x = 2,054,205.56/666
6. Step 6: Final answer
   x = 3,084.39