Finding the Third Proportional to 1,256.13 and 3,037.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,256.13 : 3,037.82 = 3,037.82 : x
2. Step 2: Convert to fraction form
   1,256.13/3,037.82 = 3,037.82/x
3. Step 3: Cross multiply
   1,256.13x = 3,037.82 × 3,037.82
4. Step 4: Simplify right side
   1,256.13x = 9,228,328.52
5. Step 5: Solve for x
   x = 9,228,328.52/1,256.13
6. Step 6: Final answer
   x = 7,346.62