Finding the Third Proportional to 12,756 and 20,320

Step by Step Solution

1. Step 1: Write the proportion equation
   12,756 : 20,320 = 20,320 : x
2. Step 2: Convert to fraction form
   12,756/20,320 = 20,320/x
3. Step 3: Cross multiply
   12,756x = 20,320 × 20,320
4. Step 4: Simplify right side
   12,756x = 412,902,400
5. Step 5: Solve for x
   x = 412,902,400/12,756
6. Step 6: Final answer
   x = 32,369.27