Finding the Third Proportional to 497 and 1,066.25

Step by Step Solution

1. Step 1: Write the proportion equation
   497 : 1,066.25 = 1,066.25 : x
2. Step 2: Convert to fraction form
   497/1,066.25 = 1,066.25/x
3. Step 3: Cross multiply
   497x = 1,066.25 × 1,066.25
4. Step 4: Simplify right side
   497x = 1,136,889.06
5. Step 5: Solve for x
   x = 1,136,889.06/497
6. Step 6: Final answer
   x = 2,287.50