Finding the Third Proportional to 12,760 and 20,488

Step by Step Solution

1. Step 1: Write the proportion equation
   12,760 : 20,488 = 20,488 : x
2. Step 2: Convert to fraction form
   12,760/20,488 = 20,488/x
3. Step 3: Cross multiply
   12,760x = 20,488 × 20,488
4. Step 4: Simplify right side
   12,760x = 419,758,144
5. Step 5: Solve for x
   x = 419,758,144/12,760
6. Step 6: Final answer
   x = 32,896.41