Finding the Third Proportional to 1,016.35 and 1,524.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.35 : 1,524.52 = 1,524.52 : x
2. Step 2: Convert to fraction form
   1,016.35/1,524.52 = 1,524.52/x
3. Step 3: Cross multiply
   1,016.35x = 1,524.52 × 1,524.52
4. Step 4: Simplify right side
   1,016.35x = 2,324,159.62
5. Step 5: Solve for x
   x = 2,324,159.62/1,016.35
6. Step 6: Final answer
   x = 2,286.78