Finding the Third Proportional to 866.50 and 1,055

Step by Step Solution

1. Step 1: Write the proportion equation
   866.50 : 1,055 = 1,055 : x
2. Step 2: Convert to fraction form
   866.50/1,055 = 1,055/x
3. Step 3: Cross multiply
   866.50x = 1,055 × 1,055
4. Step 4: Simplify right side
   866.50x = 1,113,025
5. Step 5: Solve for x
   x = 1,113,025/866.50
6. Step 6: Final answer
   x = 1,284.51