Finding the Third Proportional to 10,400 and 22,816

Step by Step Solution

1. Step 1: Write the proportion equation
   10,400 : 22,816 = 22,816 : x
2. Step 2: Convert to fraction form
   10,400/22,816 = 22,816/x
3. Step 3: Cross multiply
   10,400x = 22,816 × 22,816
4. Step 4: Simplify right side
   10,400x = 520,569,856
5. Step 5: Solve for x
   x = 520,569,856/10,400
6. Step 6: Final answer
   x = 50,054.79