Finding the Third Proportional to 553.15 and 1,298.71

Step by Step Solution

1. Step 1: Write the proportion equation
   553.15 : 1,298.71 = 1,298.71 : x
2. Step 2: Convert to fraction form
   553.15/1,298.71 = 1,298.71/x
3. Step 3: Cross multiply
   553.15x = 1,298.71 × 1,298.71
4. Step 4: Simplify right side
   553.15x = 1,686,645.19
5. Step 5: Solve for x
   x = 1,686,645.19/553.15
6. Step 6: Final answer
   x = 3,049.14