Finding the Third Proportional to 2,018.50 and 4,166

Step by Step Solution

1. Step 1: Write the proportion equation
   2,018.50 : 4,166 = 4,166 : x
2. Step 2: Convert to fraction form
   2,018.50/4,166 = 4,166/x
3. Step 3: Cross multiply
   2,018.50x = 4,166 × 4,166
4. Step 4: Simplify right side
   2,018.50x = 17,355,556
5. Step 5: Solve for x
   x = 17,355,556/2,018.50
6. Step 6: Final answer
   x = 8,598.24