Finding the Third Proportional to 1,427.41 and 2,004.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,427.41 : 2,004.33 = 2,004.33 : x
2. Step 2: Convert to fraction form
   1,427.41/2,004.33 = 2,004.33/x
3. Step 3: Cross multiply
   1,427.41x = 2,004.33 × 2,004.33
4. Step 4: Simplify right side
   1,427.41x = 4,017,331.23
5. Step 5: Solve for x
   x = 4,017,331.23/1,427.41
6. Step 6: Final answer
   x = 2,814.41