Finding the Third Proportional to 6,824 and 12,082

Step by Step Solution

1. Step 1: Write the proportion equation
   6,824 : 12,082 = 12,082 : x
2. Step 2: Convert to fraction form
   6,824/12,082 = 12,082/x
3. Step 3: Cross multiply
   6,824x = 12,082 × 12,082
4. Step 4: Simplify right side
   6,824x = 145,974,724
5. Step 5: Solve for x
   x = 145,974,724/6,824
6. Step 6: Final answer
   x = 21,391.37