Finding the Third Proportional to 5,760 and 10,680

Step by Step Solution

1. Step 1: Write the proportion equation
   5,760 : 10,680 = 10,680 : x
2. Step 2: Convert to fraction form
   5,760/10,680 = 10,680/x
3. Step 3: Cross multiply
   5,760x = 10,680 × 10,680
4. Step 4: Simplify right side
   5,760x = 114,062,400
5. Step 5: Solve for x
   x = 114,062,400/5,760
6. Step 6: Final answer
   x = 19,802.50