Finding the Third Proportional to 11,823 and 25,614

Step by Step Solution

1. Step 1: Write the proportion equation
   11,823 : 25,614 = 25,614 : x
2. Step 2: Convert to fraction form
   11,823/25,614 = 25,614/x
3. Step 3: Cross multiply
   11,823x = 25,614 × 25,614
4. Step 4: Simplify right side
   11,823x = 656,076,996
5. Step 5: Solve for x
   x = 656,076,996/11,823
6. Step 6: Final answer
   x = 55,491.58