Finding the Third Proportional to 1,012.88 and 2,145.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,012.88 : 2,145.56 = 2,145.56 : x
2. Step 2: Convert to fraction form
   1,012.88/2,145.56 = 2,145.56/x
3. Step 3: Cross multiply
   1,012.88x = 2,145.56 × 2,145.56
4. Step 4: Simplify right side
   1,012.88x = 4,603,438.44
5. Step 5: Solve for x
   x = 4,603,438.44/1,012.88
6. Step 6: Final answer
   x = 4,544.92