Finding the Third Proportional to 21,384 and 50,706

Step by Step Solution

1. Step 1: Write the proportion equation
   21,384 : 50,706 = 50,706 : x
2. Step 2: Convert to fraction form
   21,384/50,706 = 50,706/x
3. Step 3: Cross multiply
   21,384x = 50,706 × 50,706
4. Step 4: Simplify right side
   21,384x = 2,571,098,436
5. Step 5: Solve for x
   x = 2,571,098,436/21,384
6. Step 6: Final answer
   x = 120,234.68