Finding the Third Proportional to 1,380.59 and 2,103.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,380.59 : 2,103.05 = 2,103.05 : x
2. Step 2: Convert to fraction form
   1,380.59/2,103.05 = 2,103.05/x
3. Step 3: Cross multiply
   1,380.59x = 2,103.05 × 2,103.05
4. Step 4: Simplify right side
   1,380.59x = 4,422,806.16
5. Step 5: Solve for x
   x = 4,422,806.16/1,380.59
6. Step 6: Final answer
   x = 3,203.57