Finding the Third Proportional to 9,826.75 and 21,222.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,826.75 : 21,222.25 = 21,222.25 : x
2. Step 2: Convert to fraction form
   9,826.75/21,222.25 = 21,222.25/x
3. Step 3: Cross multiply
   9,826.75x = 21,222.25 × 21,222.25
4. Step 4: Simplify right side
   9,826.75x = 450,383,895.06
5. Step 5: Solve for x
   x = 450,383,895.06/9,826.75
6. Step 6: Final answer
   x = 45,832.44