Finding the Third Proportional to 493.81 and 1,066.81

Step by Step Solution

1. Step 1: Write the proportion equation
   493.81 : 1,066.81 = 1,066.81 : x
2. Step 2: Convert to fraction form
   493.81/1,066.81 = 1,066.81/x
3. Step 3: Cross multiply
   493.81x = 1,066.81 × 1,066.81
4. Step 4: Simplify right side
   493.81x = 1,138,088.91
5. Step 5: Solve for x
   x = 1,138,088.91/493.81
6. Step 6: Final answer
   x = 2,304.70