Finding the Third Proportional to 13,384 and 20,814

Step by Step Solution

1. Step 1: Write the proportion equation
   13,384 : 20,814 = 20,814 : x
2. Step 2: Convert to fraction form
   13,384/20,814 = 20,814/x
3. Step 3: Cross multiply
   13,384x = 20,814 × 20,814
4. Step 4: Simplify right side
   13,384x = 433,222,596
5. Step 5: Solve for x
   x = 433,222,596/13,384
6. Step 6: Final answer
   x = 32,368.69