Finding the Third Proportional to 12,206 and 25,384

Step by Step Solution

1. Step 1: Write the proportion equation
   12,206 : 25,384 = 25,384 : x
2. Step 2: Convert to fraction form
   12,206/25,384 = 25,384/x
3. Step 3: Cross multiply
   12,206x = 25,384 × 25,384
4. Step 4: Simplify right side
   12,206x = 644,347,456
5. Step 5: Solve for x
   x = 644,347,456/12,206
6. Step 6: Final answer
   x = 52,789.40