Finding the Third Proportional to 12,800 and 19,760

Step by Step Solution

1. Step 1: Write the proportion equation
   12,800 : 19,760 = 19,760 : x
2. Step 2: Convert to fraction form
   12,800/19,760 = 19,760/x
3. Step 3: Cross multiply
   12,800x = 19,760 × 19,760
4. Step 4: Simplify right side
   12,800x = 390,457,600
5. Step 5: Solve for x
   x = 390,457,600/12,800
6. Step 6: Final answer
   x = 30,504.50