Finding the Third Proportional to 2,054 and 3,082

Step by Step Solution

1. Step 1: Write the proportion equation
   2,054 : 3,082 = 3,082 : x
2. Step 2: Convert to fraction form
   2,054/3,082 = 3,082/x
3. Step 3: Cross multiply
   2,054x = 3,082 × 3,082
4. Step 4: Simplify right side
   2,054x = 9,498,724
5. Step 5: Solve for x
   x = 9,498,724/2,054
6. Step 6: Final answer
   x = 4,624.50