Finding the Third Proportional to 12,834 and 20,502

Step by Step Solution

1. Step 1: Write the proportion equation
   12,834 : 20,502 = 20,502 : x
2. Step 2: Convert to fraction form
   12,834/20,502 = 20,502/x
3. Step 3: Cross multiply
   12,834x = 20,502 × 20,502
4. Step 4: Simplify right side
   12,834x = 420,332,004
5. Step 5: Solve for x
   x = 420,332,004/12,834
6. Step 6: Final answer
   x = 32,751.44