Finding the Third Proportional to 1,512.42 and 3,256.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,512.42 : 3,256.56 = 3,256.56 : x
2. Step 2: Convert to fraction form
   1,512.42/3,256.56 = 3,256.56/x
3. Step 3: Cross multiply
   1,512.42x = 3,256.56 × 3,256.56
4. Step 4: Simplify right side
   1,512.42x = 10,605,173.87
5. Step 5: Solve for x
   x = 10,605,173.87/1,512.42
6. Step 6: Final answer
   x = 7,012.05