Finding the Third Proportional to 1,132.75 and 1,524.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,132.75 : 1,524.56 = 1,524.56 : x
2. Step 2: Convert to fraction form
   1,132.75/1,524.56 = 1,524.56/x
3. Step 3: Cross multiply
   1,132.75x = 1,524.56 × 1,524.56
4. Step 4: Simplify right side
   1,132.75x = 2,324,290.82
5. Step 5: Solve for x
   x = 2,324,290.82/1,132.75
6. Step 6: Final answer
   x = 2,051.90