Finding the Third Proportional to 502.94 and 1,066.56

Step by Step Solution

1. Step 1: Write the proportion equation
   502.94 : 1,066.56 = 1,066.56 : x
2. Step 2: Convert to fraction form
   502.94/1,066.56 = 1,066.56/x
3. Step 3: Cross multiply
   502.94x = 1,066.56 × 1,066.56
4. Step 4: Simplify right side
   502.94x = 1,137,555.57
5. Step 5: Solve for x
   x = 1,137,555.57/502.94
6. Step 6: Final answer
   x = 2,261.82