Finding the Third Proportional to 467.37 and 733.27

Step by Step Solution

1. Step 1: Write the proportion equation
   467.37 : 733.27 = 733.27 : x
2. Step 2: Convert to fraction form
   467.37/733.27 = 733.27/x
3. Step 3: Cross multiply
   467.37x = 733.27 × 733.27
4. Step 4: Simplify right side
   467.37x = 537,687.07
5. Step 5: Solve for x
   x = 537,687.07/467.37
6. Step 6: Final answer
   x = 1,150.45