Finding the Third Proportional to 11,519 and 23,858

Step by Step Solution

1. Step 1: Write the proportion equation
   11,519 : 23,858 = 23,858 : x
2. Step 2: Convert to fraction form
   11,519/23,858 = 23,858/x
3. Step 3: Cross multiply
   11,519x = 23,858 × 23,858
4. Step 4: Simplify right side
   11,519x = 569,204,164
5. Step 5: Solve for x
   x = 569,204,164/11,519
6. Step 6: Final answer
   x = 49,414.37