Finding the Third Proportional to 1,291.78 and 2,748.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,291.78 : 2,748.09 = 2,748.09 : x
2. Step 2: Convert to fraction form
   1,291.78/2,748.09 = 2,748.09/x
3. Step 3: Cross multiply
   1,291.78x = 2,748.09 × 2,748.09
4. Step 4: Simplify right side
   1,291.78x = 7,552,019.26
5. Step 5: Solve for x
   x = 7,552,019.26/1,291.78
6. Step 6: Final answer
   x = 5,846.21