Finding the Third Proportional to 23,827 and 50,822

Step by Step Solution

1. Step 1: Write the proportion equation
   23,827 : 50,822 = 50,822 : x
2. Step 2: Convert to fraction form
   23,827/50,822 = 50,822/x
3. Step 3: Cross multiply
   23,827x = 50,822 × 50,822
4. Step 4: Simplify right side
   23,827x = 2,582,875,684
5. Step 5: Solve for x
   x = 2,582,875,684/23,827
6. Step 6: Final answer
   x = 108,401.21