Finding the Third Proportional to 11,517 and 23,854

Step by Step Solution

1. Step 1: Write the proportion equation
   11,517 : 23,854 = 23,854 : x
2. Step 2: Convert to fraction form
   11,517/23,854 = 23,854/x
3. Step 3: Cross multiply
   11,517x = 23,854 × 23,854
4. Step 4: Simplify right side
   11,517x = 569,013,316
5. Step 5: Solve for x
   x = 569,013,316/11,517
6. Step 6: Final answer
   x = 49,406.38