Finding the Third Proportional to 11,587 and 25,361

Step by Step Solution

1. Step 1: Write the proportion equation
   11,587 : 25,361 = 25,361 : x
2. Step 2: Convert to fraction form
   11,587/25,361 = 25,361/x
3. Step 3: Cross multiply
   11,587x = 25,361 × 25,361
4. Step 4: Simplify right side
   11,587x = 643,180,321
5. Step 5: Solve for x
   x = 643,180,321/11,587
6. Step 6: Final answer
   x = 55,508.79