Finding the Third Proportional to 389.25 and 843.89

Step by Step Solution

1. Step 1: Write the proportion equation
   389.25 : 843.89 = 843.89 : x
2. Step 2: Convert to fraction form
   389.25/843.89 = 843.89/x
3. Step 3: Cross multiply
   389.25x = 843.89 × 843.89
4. Step 4: Simplify right side
   389.25x = 712,151.39
5. Step 5: Solve for x
   x = 712,151.39/389.25
6. Step 6: Final answer
   x = 1,829.55