Finding the Third Proportional to 11,664 and 25,436

Step by Step Solution

1. Step 1: Write the proportion equation
   11,664 : 25,436 = 25,436 : x
2. Step 2: Convert to fraction form
   11,664/25,436 = 25,436/x
3. Step 3: Cross multiply
   11,664x = 25,436 × 25,436
4. Step 4: Simplify right side
   11,664x = 646,990,096
5. Step 5: Solve for x
   x = 646,990,096/11,664
6. Step 6: Final answer
   x = 55,468.97