Finding the Third Proportional to 9,680 and 15,510

Step by Step Solution

1. Step 1: Write the proportion equation
   9,680 : 15,510 = 15,510 : x
2. Step 2: Convert to fraction form
   9,680/15,510 = 15,510/x
3. Step 3: Cross multiply
   9,680x = 15,510 × 15,510
4. Step 4: Simplify right side
   9,680x = 240,560,100
5. Step 5: Solve for x
   x = 240,560,100/9,680
6. Step 6: Final answer
   x = 24,851.25