Finding the Third Proportional to 1,256.63 and 2,734.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,256.63 : 2,734.31 = 2,734.31 : x
2. Step 2: Convert to fraction form
   1,256.63/2,734.31 = 2,734.31/x
3. Step 3: Cross multiply
   1,256.63x = 2,734.31 × 2,734.31
4. Step 4: Simplify right side
   1,256.63x = 7,476,464.85
5. Step 5: Solve for x
   x = 7,476,464.85/1,256.63
6. Step 6: Final answer
   x = 5,949.64