Finding the Third Proportional to 11,684 and 23,914

Step by Step Solution

1. Step 1: Write the proportion equation
   11,684 : 23,914 = 23,914 : x
2. Step 2: Convert to fraction form
   11,684/23,914 = 23,914/x
3. Step 3: Cross multiply
   11,684x = 23,914 × 23,914
4. Step 4: Simplify right side
   11,684x = 571,879,396
5. Step 5: Solve for x
   x = 571,879,396/11,684
6. Step 6: Final answer
   x = 48,945.51