Finding the Third Proportional to 11,833.50 and 25,786.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,833.50 : 25,786.50 = 25,786.50 : x
2. Step 2: Convert to fraction form
   11,833.50/25,786.50 = 25,786.50/x
3. Step 3: Cross multiply
   11,833.50x = 25,786.50 × 25,786.50
4. Step 4: Simplify right side
   11,833.50x = 664,943,582.25
5. Step 5: Solve for x
   x = 664,943,582.25/11,833.50
6. Step 6: Final answer
   x = 56,191.62