Finding the Third Proportional to 8,229 and 17,825.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,229 : 17,825.25 = 17,825.25 : x
2. Step 2: Convert to fraction form
   8,229/17,825.25 = 17,825.25/x
3. Step 3: Cross multiply
   8,229x = 17,825.25 × 17,825.25
4. Step 4: Simplify right side
   8,229x = 317,739,537.56
5. Step 5: Solve for x
   x = 317,739,537.56/8,229
6. Step 6: Final answer
   x = 38,612.17