Finding the Third Proportional to 7,696 and 10,280

Step by Step Solution

1. Step 1: Write the proportion equation
   7,696 : 10,280 = 10,280 : x
2. Step 2: Convert to fraction form
   7,696/10,280 = 10,280/x
3. Step 3: Cross multiply
   7,696x = 10,280 × 10,280
4. Step 4: Simplify right side
   7,696x = 105,678,400
5. Step 5: Solve for x
   x = 105,678,400/7,696
6. Step 6: Final answer
   x = 13,731.60