Finding the Third Proportional to 10,802 and 17,171

Step by Step Solution

1. Step 1: Write the proportion equation
   10,802 : 17,171 = 17,171 : x
2. Step 2: Convert to fraction form
   10,802/17,171 = 17,171/x
3. Step 3: Cross multiply
   10,802x = 17,171 × 17,171
4. Step 4: Simplify right side
   10,802x = 294,843,241
5. Step 5: Solve for x
   x = 294,843,241/10,802
6. Step 6: Final answer
   x = 27,295.25