Finding the Third Proportional to 738.38 and 1,152.38

Step by Step Solution

1. Step 1: Write the proportion equation
   738.38 : 1,152.38 = 1,152.38 : x
2. Step 2: Convert to fraction form
   738.38/1,152.38 = 1,152.38/x
3. Step 3: Cross multiply
   738.38x = 1,152.38 × 1,152.38
4. Step 4: Simplify right side
   738.38x = 1,327,968.14
5. Step 5: Solve for x
   x = 1,327,968.14/738.38
6. Step 6: Final answer
   x = 1,798.50