Finding the Third Proportional to 496 and 1,075.25

Step by Step Solution

1. Step 1: Write the proportion equation
   496 : 1,075.25 = 1,075.25 : x
2. Step 2: Convert to fraction form
   496/1,075.25 = 1,075.25/x
3. Step 3: Cross multiply
   496x = 1,075.25 × 1,075.25
4. Step 4: Simplify right side
   496x = 1,156,162.56
5. Step 5: Solve for x
   x = 1,156,162.56/496
6. Step 6: Final answer
   x = 2,330.97