Finding the Third Proportional to 12,800 and 30,368

Step by Step Solution

1. Step 1: Write the proportion equation
   12,800 : 30,368 = 30,368 : x
2. Step 2: Convert to fraction form
   12,800/30,368 = 30,368/x
3. Step 3: Cross multiply
   12,800x = 30,368 × 30,368
4. Step 4: Simplify right side
   12,800x = 922,215,424
5. Step 5: Solve for x
   x = 922,215,424/12,800
6. Step 6: Final answer
   x = 72,048.08