Finding the Third Proportional to 1,004.91 and 1,613.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.91 : 1,613.67 = 1,613.67 : x
2. Step 2: Convert to fraction form
   1,004.91/1,613.67 = 1,613.67/x
3. Step 3: Cross multiply
   1,004.91x = 1,613.67 × 1,613.67
4. Step 4: Simplify right side
   1,004.91x = 2,603,936.92
5. Step 5: Solve for x
   x = 2,603,936.92/1,004.91
6. Step 6: Final answer
   x = 2,591.22