Finding the Third Proportional to 5,422 and 12,082

Step by Step Solution

1. Step 1: Write the proportion equation
   5,422 : 12,082 = 12,082 : x
2. Step 2: Convert to fraction form
   5,422/12,082 = 12,082/x
3. Step 3: Cross multiply
   5,422x = 12,082 × 12,082
4. Step 4: Simplify right side
   5,422x = 145,974,724
5. Step 5: Solve for x
   x = 145,974,724/5,422
6. Step 6: Final answer
   x = 26,922.67