Finding the Third Proportional to 1,255.82 and 2,742.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,255.82 : 2,742.29 = 2,742.29 : x
2. Step 2: Convert to fraction form
   1,255.82/2,742.29 = 2,742.29/x
3. Step 3: Cross multiply
   1,255.82x = 2,742.29 × 2,742.29
4. Step 4: Simplify right side
   1,255.82x = 7,520,170.73
5. Step 5: Solve for x
   x = 7,520,170.73/1,255.82
6. Step 6: Final answer
   x = 5,988.27