Finding the Third Proportional to 602.69 and 1,306.56

Step by Step Solution

1. Step 1: Write the proportion equation
   602.69 : 1,306.56 = 1,306.56 : x
2. Step 2: Convert to fraction form
   602.69/1,306.56 = 1,306.56/x
3. Step 3: Cross multiply
   602.69x = 1,306.56 × 1,306.56
4. Step 4: Simplify right side
   602.69x = 1,707,105.57
5. Step 5: Solve for x
   x = 1,707,105.57/602.69
6. Step 6: Final answer
   x = 2,832.49