Finding the Third Proportional to 11,917 and 25,796

Step by Step Solution

1. Step 1: Write the proportion equation
   11,917 : 25,796 = 25,796 : x
2. Step 2: Convert to fraction form
   11,917/25,796 = 25,796/x
3. Step 3: Cross multiply
   11,917x = 25,796 × 25,796
4. Step 4: Simplify right side
   11,917x = 665,433,616
5. Step 5: Solve for x
   x = 665,433,616/11,917
6. Step 6: Final answer
   x = 55,839.02