Finding the Third Proportional to 852.38 and 1,797.38

Step by Step Solution

1. Step 1: Write the proportion equation
   852.38 : 1,797.38 = 1,797.38 : x
2. Step 2: Convert to fraction form
   852.38/1,797.38 = 1,797.38/x
3. Step 3: Cross multiply
   852.38x = 1,797.38 × 1,797.38
4. Step 4: Simplify right side
   852.38x = 3,230,556.89
5. Step 5: Solve for x
   x = 3,230,556.89/852.38
6. Step 6: Final answer
   x = 3,790.07