Finding the Third Proportional to 12,536 and 19,401

Step by Step Solution

1. Step 1: Write the proportion equation
   12,536 : 19,401 = 19,401 : x
2. Step 2: Convert to fraction form
   12,536/19,401 = 19,401/x
3. Step 3: Cross multiply
   12,536x = 19,401 × 19,401
4. Step 4: Simplify right side
   12,536x = 376,398,801
5. Step 5: Solve for x
   x = 376,398,801/12,536
6. Step 6: Final answer
   x = 30,025.43