Finding the Third Proportional to 9,680 and 13,082

Step by Step Solution

1. Step 1: Write the proportion equation
   9,680 : 13,082 = 13,082 : x
2. Step 2: Convert to fraction form
   9,680/13,082 = 13,082/x
3. Step 3: Cross multiply
   9,680x = 13,082 × 13,082
4. Step 4: Simplify right side
   9,680x = 171,138,724
5. Step 5: Solve for x
   x = 171,138,724/9,680
6. Step 6: Final answer
   x = 17,679.62