Finding the Third Proportional to 10,374 and 22,401

Step by Step Solution

1. Step 1: Write the proportion equation
   10,374 : 22,401 = 22,401 : x
2. Step 2: Convert to fraction form
   10,374/22,401 = 22,401/x
3. Step 3: Cross multiply
   10,374x = 22,401 × 22,401
4. Step 4: Simplify right side
   10,374x = 501,804,801
5. Step 5: Solve for x
   x = 501,804,801/10,374
6. Step 6: Final answer
   x = 48,371.39