Finding the Third Proportional to 475.69 and 737.72

Step by Step Solution

1. Step 1: Write the proportion equation
   475.69 : 737.72 = 737.72 : x
2. Step 2: Convert to fraction form
   475.69/737.72 = 737.72/x
3. Step 3: Cross multiply
   475.69x = 737.72 × 737.72
4. Step 4: Simplify right side
   475.69x = 544,228.95
5. Step 5: Solve for x
   x = 544,228.95/475.69
6. Step 6: Final answer
   x = 1,144.09