Finding the Third Proportional to 10,694 and 14,401

Step by Step Solution

1. Step 1: Write the proportion equation
   10,694 : 14,401 = 14,401 : x
2. Step 2: Convert to fraction form
   10,694/14,401 = 14,401/x
3. Step 3: Cross multiply
   10,694x = 14,401 × 14,401
4. Step 4: Simplify right side
   10,694x = 207,388,801
5. Step 5: Solve for x
   x = 207,388,801/10,694
6. Step 6: Final answer
   x = 19,393.01