Finding the Third Proportional to 367.59 and 803.53

Step by Step Solution

1. Step 1: Write the proportion equation
   367.59 : 803.53 = 803.53 : x
2. Step 2: Convert to fraction form
   367.59/803.53 = 803.53/x
3. Step 3: Cross multiply
   367.59x = 803.53 × 803.53
4. Step 4: Simplify right side
   367.59x = 645,662.47
5. Step 5: Solve for x
   x = 645,662.47/367.59
6. Step 6: Final answer
   x = 1,756.46