Finding the Third Proportional to 8,224.50 and 17,762.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,224.50 : 17,762.25 = 17,762.25 : x
2. Step 2: Convert to fraction form
   8,224.50/17,762.25 = 17,762.25/x
3. Step 3: Cross multiply
   8,224.50x = 17,762.25 × 17,762.25
4. Step 4: Simplify right side
   8,224.50x = 315,497,525.06
5. Step 5: Solve for x
   x = 315,497,525.06/8,224.50
6. Step 6: Final answer
   x = 38,360.69