Finding the Third Proportional to 8,225 and 17,763.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,225 : 17,763.50 = 17,763.50 : x
2. Step 2: Convert to fraction form
   8,225/17,763.50 = 17,763.50/x
3. Step 3: Cross multiply
   8,225x = 17,763.50 × 17,763.50
4. Step 4: Simplify right side
   8,225x = 315,541,932.25
5. Step 5: Solve for x
   x = 315,541,932.25/8,225
6. Step 6: Final answer
   x = 38,363.76