Finding the Third Proportional to 22,223 and 34,401

Step by Step Solution

1. Step 1: Write the proportion equation
   22,223 : 34,401 = 34,401 : x
2. Step 2: Convert to fraction form
   22,223/34,401 = 34,401/x
3. Step 3: Cross multiply
   22,223x = 34,401 × 34,401
4. Step 4: Simplify right side
   22,223x = 1,183,428,801
5. Step 5: Solve for x
   x = 1,183,428,801/22,223
6. Step 6: Final answer
   x = 53,252.43