Finding the Third Proportional to 1,271.53 and 2,780.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,271.53 : 2,780.16 = 2,780.16 : x
2. Step 2: Convert to fraction form
   1,271.53/2,780.16 = 2,780.16/x
3. Step 3: Cross multiply
   1,271.53x = 2,780.16 × 2,780.16
4. Step 4: Simplify right side
   1,271.53x = 7,729,268.77
5. Step 5: Solve for x
   x = 7,729,268.77/1,271.53
6. Step 6: Final answer
   x = 6,078.71