Finding the Third Proportional to 11,404 and 13,964

Step by Step Solution

1. Step 1: Write the proportion equation
   11,404 : 13,964 = 13,964 : x
2. Step 2: Convert to fraction form
   11,404/13,964 = 13,964/x
3. Step 3: Cross multiply
   11,404x = 13,964 × 13,964
4. Step 4: Simplify right side
   11,404x = 194,993,296
5. Step 5: Solve for x
   x = 194,993,296/11,404
6. Step 6: Final answer
   x = 17,098.68