Finding the Third Proportional to 435.38 and 591.38

Step by Step Solution

1. Step 1: Write the proportion equation
   435.38 : 591.38 = 591.38 : x
2. Step 2: Convert to fraction form
   435.38/591.38 = 591.38/x
3. Step 3: Cross multiply
   435.38x = 591.38 × 591.38
4. Step 4: Simplify right side
   435.38x = 349,724.39
5. Step 5: Solve for x
   x = 349,724.39/435.38
6. Step 6: Final answer
   x = 803.27