Finding the Third Proportional to 11,082 and 23,416

Step by Step Solution

1. Step 1: Write the proportion equation
   11,082 : 23,416 = 23,416 : x
2. Step 2: Convert to fraction form
   11,082/23,416 = 23,416/x
3. Step 3: Cross multiply
   11,082x = 23,416 × 23,416
4. Step 4: Simplify right side
   11,082x = 548,309,056
5. Step 5: Solve for x
   x = 548,309,056/11,082
6. Step 6: Final answer
   x = 49,477.45