Finding the Third Proportional to 1,036.69 and 1,524.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,036.69 : 1,524.63 = 1,524.63 : x
2. Step 2: Convert to fraction form
   1,036.69/1,524.63 = 1,524.63/x
3. Step 3: Cross multiply
   1,036.69x = 1,524.63 × 1,524.63
4. Step 4: Simplify right side
   1,036.69x = 2,324,481.39
5. Step 5: Solve for x
   x = 2,324,481.39/1,036.69
6. Step 6: Final answer
   x = 2,242.22