Finding the Third Proportional to 7,684 and 10,270

Step by Step Solution

1. Step 1: Write the proportion equation
   7,684 : 10,270 = 10,270 : x
2. Step 2: Convert to fraction form
   7,684/10,270 = 10,270/x
3. Step 3: Cross multiply
   7,684x = 10,270 × 10,270
4. Step 4: Simplify right side
   7,684x = 105,472,900
5. Step 5: Solve for x
   x = 105,472,900/7,684
6. Step 6: Final answer
   x = 13,726.30