Finding the Third Proportional to 1,127.67 and 2,562.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,127.67 : 2,562.89 = 2,562.89 : x
2. Step 2: Convert to fraction form
   1,127.67/2,562.89 = 2,562.89/x
3. Step 3: Cross multiply
   1,127.67x = 2,562.89 × 2,562.89
4. Step 4: Simplify right side
   1,127.67x = 6,568,408.36
5. Step 5: Solve for x
   x = 6,568,408.36/1,127.67
6. Step 6: Final answer
   x = 5,824.75