Finding the Third Proportional to 10,648 and 14,082

Step by Step Solution

1. Step 1: Write the proportion equation
   10,648 : 14,082 = 14,082 : x
2. Step 2: Convert to fraction form
   10,648/14,082 = 14,082/x
3. Step 3: Cross multiply
   10,648x = 14,082 × 14,082
4. Step 4: Simplify right side
   10,648x = 198,302,724
5. Step 5: Solve for x
   x = 198,302,724/10,648
6. Step 6: Final answer
   x = 18,623.47