Finding the Third Proportional to 1,014.30 and 1,524.39

Step by Step Solution

1. Step 1: Write the proportion equation
   1,014.30 : 1,524.39 = 1,524.39 : x
2. Step 2: Convert to fraction form
   1,014.30/1,524.39 = 1,524.39/x
3. Step 3: Cross multiply
   1,014.30x = 1,524.39 × 1,524.39
4. Step 4: Simplify right side
   1,014.30x = 2,323,752.64
5. Step 5: Solve for x
   x = 2,323,752.64/1,014.30
6. Step 6: Final answer
   x = 2,290.99