Finding the Third Proportional to 11,584 and 25,355

Step by Step Solution

1. Step 1: Write the proportion equation
   11,584 : 25,355 = 25,355 : x
2. Step 2: Convert to fraction form
   11,584/25,355 = 25,355/x
3. Step 3: Cross multiply
   11,584x = 25,355 × 25,355
4. Step 4: Simplify right side
   11,584x = 642,876,025
5. Step 5: Solve for x
   x = 642,876,025/11,584
6. Step 6: Final answer
   x = 55,496.89