Finding the Third Proportional to 8,176.50 and 17,648.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,176.50 : 17,648.25 = 17,648.25 : x
2. Step 2: Convert to fraction form
   8,176.50/17,648.25 = 17,648.25/x
3. Step 3: Cross multiply
   8,176.50x = 17,648.25 × 17,648.25
4. Step 4: Simplify right side
   8,176.50x = 311,460,728.06
5. Step 5: Solve for x
   x = 311,460,728.06/8,176.50
6. Step 6: Final answer
   x = 38,092.18