Finding the Third Proportional to 11,325 and 23,682

Step by Step Solution

1. Step 1: Write the proportion equation
   11,325 : 23,682 = 23,682 : x
2. Step 2: Convert to fraction form
   11,325/23,682 = 23,682/x
3. Step 3: Cross multiply
   11,325x = 23,682 × 23,682
4. Step 4: Simplify right side
   11,325x = 560,837,124
5. Step 5: Solve for x
   x = 560,837,124/11,325
6. Step 6: Final answer
   x = 49,522.04