Finding the Third Proportional to 375.89 and 803.04

Step by Step Solution

1. Step 1: Write the proportion equation
   375.89 : 803.04 = 803.04 : x
2. Step 2: Convert to fraction form
   375.89/803.04 = 803.04/x
3. Step 3: Cross multiply
   375.89x = 803.04 × 803.04
4. Step 4: Simplify right side
   375.89x = 644,871.74
5. Step 5: Solve for x
   x = 644,871.74/375.89
6. Step 6: Final answer
   x = 1,715.58