Finding the Third Proportional to 1,380.76 and 2,559.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,380.76 : 2,559.69 = 2,559.69 : x
2. Step 2: Convert to fraction form
   1,380.76/2,559.69 = 2,559.69/x
3. Step 3: Cross multiply
   1,380.76x = 2,559.69 × 2,559.69
4. Step 4: Simplify right side
   1,380.76x = 6,551,997.60
5. Step 5: Solve for x
   x = 6,551,997.60/1,380.76
6. Step 6: Final answer
   x = 4,745.22