Finding the Third Proportional to 8,243 and 17,853.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,243 : 17,853.50 = 17,853.50 : x
2. Step 2: Convert to fraction form
   8,243/17,853.50 = 17,853.50/x
3. Step 3: Cross multiply
   8,243x = 17,853.50 × 17,853.50
4. Step 4: Simplify right side
   8,243x = 318,747,462.25
5. Step 5: Solve for x
   x = 318,747,462.25/8,243
6. Step 6: Final answer
   x = 38,668.87