Finding the Third Proportional to 11,888 and 25,696

Step by Step Solution

1. Step 1: Write the proportion equation
   11,888 : 25,696 = 25,696 : x
2. Step 2: Convert to fraction form
   11,888/25,696 = 25,696/x
3. Step 3: Cross multiply
   11,888x = 25,696 × 25,696
4. Step 4: Simplify right side
   11,888x = 660,284,416
5. Step 5: Solve for x
   x = 660,284,416/11,888
6. Step 6: Final answer
   x = 55,542.09