Finding the Third Proportional to 11,589 and 25,345.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,589 : 25,345.50 = 25,345.50 : x
2. Step 2: Convert to fraction form
   11,589/25,345.50 = 25,345.50/x
3. Step 3: Cross multiply
   11,589x = 25,345.50 × 25,345.50
4. Step 4: Simplify right side
   11,589x = 642,394,370.25
5. Step 5: Solve for x
   x = 642,394,370.25/11,589
6. Step 6: Final answer
   x = 55,431.39