Finding the Third Proportional to 11,886 and 25,653.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,886 : 25,653.50 = 25,653.50 : x
2. Step 2: Convert to fraction form
   11,886/25,653.50 = 25,653.50/x
3. Step 3: Cross multiply
   11,886x = 25,653.50 × 25,653.50
4. Step 4: Simplify right side
   11,886x = 658,102,062.25
5. Step 5: Solve for x
   x = 658,102,062.25/11,886
6. Step 6: Final answer
   x = 55,367.83