Finding the Third Proportional to 11,586 and 25,399.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,586 : 25,399.50 = 25,399.50 : x
2. Step 2: Convert to fraction form
   11,586/25,399.50 = 25,399.50/x
3. Step 3: Cross multiply
   11,586x = 25,399.50 × 25,399.50
4. Step 4: Simplify right side
   11,586x = 645,134,600.25
5. Step 5: Solve for x
   x = 645,134,600.25/11,586
6. Step 6: Final answer
   x = 55,682.25