Finding the Third Proportional to 1,004.25 and 1,519.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.25 : 1,519.25 = 1,519.25 : x
2. Step 2: Convert to fraction form
   1,004.25/1,519.25 = 1,519.25/x
3. Step 3: Cross multiply
   1,004.25x = 1,519.25 × 1,519.25
4. Step 4: Simplify right side
   1,004.25x = 2,308,120.56
5. Step 5: Solve for x
   x = 2,308,120.56/1,004.25
6. Step 6: Final answer
   x = 2,298.35