Finding the Third Proportional to 1,380.38 and 3,003.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,380.38 : 3,003.75 = 3,003.75 : x
2. Step 2: Convert to fraction form
   1,380.38/3,003.75 = 3,003.75/x
3. Step 3: Cross multiply
   1,380.38x = 3,003.75 × 3,003.75
4. Step 4: Simplify right side
   1,380.38x = 9,022,514.06
5. Step 5: Solve for x
   x = 9,022,514.06/1,380.38
6. Step 6: Final answer
   x = 6,536.28