Finding the Third Proportional to 11,786.50 and 25,679

Step by Step Solution

1. Step 1: Write the proportion equation
   11,786.50 : 25,679 = 25,679 : x
2. Step 2: Convert to fraction form
   11,786.50/25,679 = 25,679/x
3. Step 3: Cross multiply
   11,786.50x = 25,679 × 25,679
4. Step 4: Simplify right side
   11,786.50x = 659,411,041
5. Step 5: Solve for x
   x = 659,411,041/11,786.50
6. Step 6: Final answer
   x = 55,946.30