Finding the Third Proportional to 23,827 and 55,401

Step by Step Solution

1. Step 1: Write the proportion equation
   23,827 : 55,401 = 55,401 : x
2. Step 2: Convert to fraction form
   23,827/55,401 = 55,401/x
3. Step 3: Cross multiply
   23,827x = 55,401 × 55,401
4. Step 4: Simplify right side
   23,827x = 3,069,270,801
5. Step 5: Solve for x
   x = 3,069,270,801/23,827
6. Step 6: Final answer
   x = 128,814.82