Finding the Third Proportional to 9,602 and 13,171

Step by Step Solution

1. Step 1: Write the proportion equation
   9,602 : 13,171 = 13,171 : x
2. Step 2: Convert to fraction form
   9,602/13,171 = 13,171/x
3. Step 3: Cross multiply
   9,602x = 13,171 × 13,171
4. Step 4: Simplify right side
   9,602x = 173,475,241
5. Step 5: Solve for x
   x = 173,475,241/9,602
6. Step 6: Final answer
   x = 18,066.57