Finding the Third Proportional to 3,982.50 and 8,507.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,982.50 : 8,507.25 = 8,507.25 : x
2. Step 2: Convert to fraction form
   3,982.50/8,507.25 = 8,507.25/x
3. Step 3: Cross multiply
   3,982.50x = 8,507.25 × 8,507.25
4. Step 4: Simplify right side
   3,982.50x = 72,373,302.56
5. Step 5: Solve for x
   x = 72,373,302.56/3,982.50
6. Step 6: Final answer
   x = 18,172.83