Finding the Third Proportional to 1,018 and 1,524.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,018 : 1,524.50 = 1,524.50 : x
2. Step 2: Convert to fraction form
   1,018/1,524.50 = 1,524.50/x
3. Step 3: Cross multiply
   1,018x = 1,524.50 × 1,524.50
4. Step 4: Simplify right side
   1,018x = 2,324,100.25
5. Step 5: Solve for x
   x = 2,324,100.25/1,018
6. Step 6: Final answer
   x = 2,283.01