Finding the Third Proportional to 8,185.50 and 17,678.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,185.50 : 17,678.25 = 17,678.25 : x
2. Step 2: Convert to fraction form
   8,185.50/17,678.25 = 17,678.25/x
3. Step 3: Cross multiply
   8,185.50x = 17,678.25 × 17,678.25
4. Step 4: Simplify right side
   8,185.50x = 312,520,523.06
5. Step 5: Solve for x
   x = 312,520,523.06/8,185.50
6. Step 6: Final answer
   x = 38,179.77