Finding the Third Proportional to 554 and 1,165.38

Step by Step Solution

1. Step 1: Write the proportion equation
   554 : 1,165.38 = 1,165.38 : x
2. Step 2: Convert to fraction form
   554/1,165.38 = 1,165.38/x
3. Step 3: Cross multiply
   554x = 1,165.38 × 1,165.38
4. Step 4: Simplify right side
   554x = 1,358,098.89
5. Step 5: Solve for x
   x = 1,358,098.89/554
6. Step 6: Final answer
   x = 2,451.44