Finding the Third Proportional to 9,736 and 14,290

Step by Step Solution

1. Step 1: Write the proportion equation
   9,736 : 14,290 = 14,290 : x
2. Step 2: Convert to fraction form
   9,736/14,290 = 14,290/x
3. Step 3: Cross multiply
   9,736x = 14,290 × 14,290
4. Step 4: Simplify right side
   9,736x = 204,204,100
5. Step 5: Solve for x
   x = 204,204,100/9,736
6. Step 6: Final answer
   x = 20,974.13