Finding the Third Proportional to 1,036 and 1,171

Step by Step Solution

1. Step 1: Write the proportion equation
   1,036 : 1,171 = 1,171 : x
2. Step 2: Convert to fraction form
   1,036/1,171 = 1,171/x
3. Step 3: Cross multiply
   1,036x = 1,171 × 1,171
4. Step 4: Simplify right side
   1,036x = 1,371,241
5. Step 5: Solve for x
   x = 1,371,241/1,036
6. Step 6: Final answer
   x = 1,323.59