Finding the Third Proportional to 5,538 and 12,082

Step by Step Solution

1. Step 1: Write the proportion equation
   5,538 : 12,082 = 12,082 : x
2. Step 2: Convert to fraction form
   5,538/12,082 = 12,082/x
3. Step 3: Cross multiply
   5,538x = 12,082 × 12,082
4. Step 4: Simplify right side
   5,538x = 145,974,724
5. Step 5: Solve for x
   x = 145,974,724/5,538
6. Step 6: Final answer
   x = 26,358.74