Finding the Third Proportional to 638.82 and 945.42

Step by Step Solution

1. Step 1: Write the proportion equation
   638.82 : 945.42 = 945.42 : x
2. Step 2: Convert to fraction form
   638.82/945.42 = 945.42/x
3. Step 3: Cross multiply
   638.82x = 945.42 × 945.42
4. Step 4: Simplify right side
   638.82x = 893,822.52
5. Step 5: Solve for x
   x = 893,822.52/638.82
6. Step 6: Final answer
   x = 1,399.17