Finding the Third Proportional to 11,601 and 25,293

Step by Step Solution

1. Step 1: Write the proportion equation
   11,601 : 25,293 = 25,293 : x
2. Step 2: Convert to fraction form
   11,601/25,293 = 25,293/x
3. Step 3: Cross multiply
   11,601x = 25,293 × 25,293
4. Step 4: Simplify right side
   11,601x = 639,735,849
5. Step 5: Solve for x
   x = 639,735,849/11,601
6. Step 6: Final answer
   x = 55,144.89