Finding the Third Proportional to 594 and 1,286.72

Step by Step Solution

1. Step 1: Write the proportion equation
   594 : 1,286.72 = 1,286.72 : x
2. Step 2: Convert to fraction form
   594/1,286.72 = 1,286.72/x
3. Step 3: Cross multiply
   594x = 1,286.72 × 1,286.72
4. Step 4: Simplify right side
   594x = 1,655,645.14
5. Step 5: Solve for x
   x = 1,655,645.14/594
6. Step 6: Final answer
   x = 2,787.28