Finding the Third Proportional to 1,280.25 and 2,742.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,280.25 : 2,742.75 = 2,742.75 : x
2. Step 2: Convert to fraction form
   1,280.25/2,742.75 = 2,742.75/x
3. Step 3: Cross multiply
   1,280.25x = 2,742.75 × 2,742.75
4. Step 4: Simplify right side
   1,280.25x = 7,522,677.56
5. Step 5: Solve for x
   x = 7,522,677.56/1,280.25
6. Step 6: Final answer
   x = 5,875.94