Finding the Third Proportional to 12,800 and 19,768

Step by Step Solution

1. Step 1: Write the proportion equation
   12,800 : 19,768 = 19,768 : x
2. Step 2: Convert to fraction form
   12,800/19,768 = 19,768/x
3. Step 3: Cross multiply
   12,800x = 19,768 × 19,768
4. Step 4: Simplify right side
   12,800x = 390,773,824
5. Step 5: Solve for x
   x = 390,773,824/12,800
6. Step 6: Final answer
   x = 30,529.21