Finding the Third Proportional to 1,409.44 and 2,003.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.44 : 2,003.31 = 2,003.31 : x
2. Step 2: Convert to fraction form
   1,409.44/2,003.31 = 2,003.31/x
3. Step 3: Cross multiply
   1,409.44x = 2,003.31 × 2,003.31
4. Step 4: Simplify right side
   1,409.44x = 4,013,260.97
5. Step 5: Solve for x
   x = 4,013,260.97/1,409.44
6. Step 6: Final answer
   x = 2,847.42