Finding the Third Proportional to 11,705 and 20,814

Step by Step Solution

1. Step 1: Write the proportion equation
   11,705 : 20,814 = 20,814 : x
2. Step 2: Convert to fraction form
   11,705/20,814 = 20,814/x
3. Step 3: Cross multiply
   11,705x = 20,814 × 20,814
4. Step 4: Simplify right side
   11,705x = 433,222,596
5. Step 5: Solve for x
   x = 433,222,596/11,705
6. Step 6: Final answer
   x = 37,011.76