Finding the Third Proportional to 600 and 1,433.25

Step by Step Solution

1. Step 1: Write the proportion equation
   600 : 1,433.25 = 1,433.25 : x
2. Step 2: Convert to fraction form
   600/1,433.25 = 1,433.25/x
3. Step 3: Cross multiply
   600x = 1,433.25 × 1,433.25
4. Step 4: Simplify right side
   600x = 2,054,205.56
5. Step 5: Solve for x
   x = 2,054,205.56/600
6. Step 6: Final answer
   x = 3,423.68