Finding the Third Proportional to 863.26 and 1,150.61

Step by Step Solution

1. Step 1: Write the proportion equation
   863.26 : 1,150.61 = 1,150.61 : x
2. Step 2: Convert to fraction form
   863.26/1,150.61 = 1,150.61/x
3. Step 3: Cross multiply
   863.26x = 1,150.61 × 1,150.61
4. Step 4: Simplify right side
   863.26x = 1,323,906.43
5. Step 5: Solve for x
   x = 1,323,906.43/863.26
6. Step 6: Final answer
   x = 1,533.61