Finding the Third Proportional to 1,029.94 and 2,256.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,029.94 : 2,256.47 = 2,256.47 : x
2. Step 2: Convert to fraction form
   1,029.94/2,256.47 = 2,256.47/x
3. Step 3: Cross multiply
   1,029.94x = 2,256.47 × 2,256.47
4. Step 4: Simplify right side
   1,029.94x = 5,091,651.22
5. Step 5: Solve for x
   x = 5,091,651.22/1,029.94
6. Step 6: Final answer
   x = 4,943.65