Finding the Third Proportional to 492 and 1,065.25

Step by Step Solution

1. Step 1: Write the proportion equation
   492 : 1,065.25 = 1,065.25 : x
2. Step 2: Convert to fraction form
   492/1,065.25 = 1,065.25/x
3. Step 3: Cross multiply
   492x = 1,065.25 × 1,065.25
4. Step 4: Simplify right side
   492x = 1,134,757.56
5. Step 5: Solve for x
   x = 1,134,757.56/492
6. Step 6: Final answer
   x = 2,306.42