Finding the Third Proportional to 638.82 and 1,003.80

Step by Step Solution

1. Step 1: Write the proportion equation
   638.82 : 1,003.80 = 1,003.80 : x
2. Step 2: Convert to fraction form
   638.82/1,003.80 = 1,003.80/x
3. Step 3: Cross multiply
   638.82x = 1,003.80 × 1,003.80
4. Step 4: Simplify right side
   638.82x = 1,007,612.09
5. Step 5: Solve for x
   x = 1,007,612.09/638.82
6. Step 6: Final answer
   x = 1,577.29