Finding the Third Proportional to 11,614 and 23,846

Step by Step Solution

1. Step 1: Write the proportion equation
   11,614 : 23,846 = 23,846 : x
2. Step 2: Convert to fraction form
   11,614/23,846 = 23,846/x
3. Step 3: Cross multiply
   11,614x = 23,846 × 23,846
4. Step 4: Simplify right side
   11,614x = 568,631,716
5. Step 5: Solve for x
   x = 568,631,716/11,614
6. Step 6: Final answer
   x = 48,960.88