Finding the Third Proportional to 585.56 and 1,288.83

Step by Step Solution

1. Step 1: Write the proportion equation
   585.56 : 1,288.83 = 1,288.83 : x
2. Step 2: Convert to fraction form
   585.56/1,288.83 = 1,288.83/x
3. Step 3: Cross multiply
   585.56x = 1,288.83 × 1,288.83
4. Step 4: Simplify right side
   585.56x = 1,661,077.94
5. Step 5: Solve for x
   x = 1,661,077.94/585.56
6. Step 6: Final answer
   x = 2,836.72