Finding the Third Proportional to 11,926 and 25,678

Step by Step Solution

1. Step 1: Write the proportion equation
   11,926 : 25,678 = 25,678 : x
2. Step 2: Convert to fraction form
   11,926/25,678 = 25,678/x
3. Step 3: Cross multiply
   11,926x = 25,678 × 25,678
4. Step 4: Simplify right side
   11,926x = 659,359,684
5. Step 5: Solve for x
   x = 659,359,684/11,926
6. Step 6: Final answer
   x = 55,287.58