Finding the Third Proportional to 492 and 1,074.75

Step by Step Solution

1. Step 1: Write the proportion equation
   492 : 1,074.75 = 1,074.75 : x
2. Step 2: Convert to fraction form
   492/1,074.75 = 1,074.75/x
3. Step 3: Cross multiply
   492x = 1,074.75 × 1,074.75
4. Step 4: Simplify right side
   492x = 1,155,087.56
5. Step 5: Solve for x
   x = 1,155,087.56/492
6. Step 6: Final answer
   x = 2,347.74