Finding the Third Proportional to 9,290 and 14,171

Step by Step Solution

1. Step 1: Write the proportion equation
   9,290 : 14,171 = 14,171 : x
2. Step 2: Convert to fraction form
   9,290/14,171 = 14,171/x
3. Step 3: Cross multiply
   9,290x = 14,171 × 14,171
4. Step 4: Simplify right side
   9,290x = 200,817,241
5. Step 5: Solve for x
   x = 200,817,241/9,290
6. Step 6: Final answer
   x = 21,616.50