Finding the Third Proportional to 10,842 and 21,223.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,842 : 21,223.50 = 21,223.50 : x
2. Step 2: Convert to fraction form
   10,842/21,223.50 = 21,223.50/x
3. Step 3: Cross multiply
   10,842x = 21,223.50 × 21,223.50
4. Step 4: Simplify right side
   10,842x = 450,436,952.25
5. Step 5: Solve for x
   x = 450,436,952.25/10,842
6. Step 6: Final answer
   x = 41,545.56