Finding the Third Proportional to 23,564 and 50,818

Step by Step Solution

1. Step 1: Write the proportion equation
   23,564 : 50,818 = 50,818 : x
2. Step 2: Convert to fraction form
   23,564/50,818 = 50,818/x
3. Step 3: Cross multiply
   23,564x = 50,818 × 50,818
4. Step 4: Simplify right side
   23,564x = 2,582,469,124
5. Step 5: Solve for x
   x = 2,582,469,124/23,564
6. Step 6: Final answer
   x = 109,593.83