Finding the Third Proportional to 1,409.75 and 2,003.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.75 : 2,003.63 = 2,003.63 : x
2. Step 2: Convert to fraction form
   1,409.75/2,003.63 = 2,003.63/x
3. Step 3: Cross multiply
   1,409.75x = 2,003.63 × 2,003.63
4. Step 4: Simplify right side
   1,409.75x = 4,014,513.14
5. Step 5: Solve for x
   x = 4,014,513.14/1,409.75
6. Step 6: Final answer
   x = 2,847.68