Finding the Third Proportional to 1,524.75 and 2,067.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,524.75 : 2,067.38 = 2,067.38 : x
2. Step 2: Convert to fraction form
   1,524.75/2,067.38 = 2,067.38/x
3. Step 3: Cross multiply
   1,524.75x = 2,067.38 × 2,067.38
4. Step 4: Simplify right side
   1,524.75x = 4,274,039.39
5. Step 5: Solve for x
   x = 4,274,039.39/1,524.75
6. Step 6: Final answer
   x = 2,803.11