Finding the Third Proportional to 11,704 and 15,814

Step by Step Solution

1. Step 1: Write the proportion equation
   11,704 : 15,814 = 15,814 : x
2. Step 2: Convert to fraction form
   11,704/15,814 = 15,814/x
3. Step 3: Cross multiply
   11,704x = 15,814 × 15,814
4. Step 4: Simplify right side
   11,704x = 250,082,596
5. Step 5: Solve for x
   x = 250,082,596/11,704
6. Step 6: Final answer
   x = 21,367.28