Finding the Third Proportional to 1,087.80 and 2,380.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,087.80 : 2,380.64 = 2,380.64 : x
2. Step 2: Convert to fraction form
   1,087.80/2,380.64 = 2,380.64/x
3. Step 3: Cross multiply
   1,087.80x = 2,380.64 × 2,380.64
4. Step 4: Simplify right side
   1,087.80x = 5,667,449.79
5. Step 5: Solve for x
   x = 5,667,449.79/1,087.80
6. Step 6: Final answer
   x = 5,209.99