Finding the Third Proportional to 4,205.25 and 8,680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,205.25 : 8,680.50 = 8,680.50 : x
2. Step 2: Convert to fraction form
   4,205.25/8,680.50 = 8,680.50/x
3. Step 3: Cross multiply
   4,205.25x = 8,680.50 × 8,680.50
4. Step 4: Simplify right side
   4,205.25x = 75,351,080.25
5. Step 5: Solve for x
   x = 75,351,080.25/4,205.25
6. Step 6: Final answer
   x = 17,918.34