Finding the Third Proportional to 492.75 and 1,066.31

Step by Step Solution

1. Step 1: Write the proportion equation
   492.75 : 1,066.31 = 1,066.31 : x
2. Step 2: Convert to fraction form
   492.75/1,066.31 = 1,066.31/x
3. Step 3: Cross multiply
   492.75x = 1,066.31 × 1,066.31
4. Step 4: Simplify right side
   492.75x = 1,137,022.35
5. Step 5: Solve for x
   x = 1,137,022.35/492.75
6. Step 6: Final answer
   x = 2,307.50