Finding the Third Proportional to 1,004.91 and 1,513.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.91 : 1,513.69 = 1,513.69 : x
2. Step 2: Convert to fraction form
   1,004.91/1,513.69 = 1,513.69/x
3. Step 3: Cross multiply
   1,004.91x = 1,513.69 × 1,513.69
4. Step 4: Simplify right side
   1,004.91x = 2,291,249.85
5. Step 5: Solve for x
   x = 2,291,249.85/1,004.91
6. Step 6: Final answer
   x = 2,280.06