Finding the Third Proportional to 1,158.05 and 1,306.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,158.05 : 1,306.55 = 1,306.55 : x
2. Step 2: Convert to fraction form
   1,158.05/1,306.55 = 1,306.55/x
3. Step 3: Cross multiply
   1,158.05x = 1,306.55 × 1,306.55
4. Step 4: Simplify right side
   1,158.05x = 1,707,064.74
5. Step 5: Solve for x
   x = 1,707,064.74/1,158.05
6. Step 6: Final answer
   x = 1,474.09