Finding the Third Proportional to 2,380.64 and 3,383.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,380.64 : 3,383.02 = 3,383.02 : x
2. Step 2: Convert to fraction form
   2,380.64/3,383.02 = 3,383.02/x
3. Step 3: Cross multiply
   2,380.64x = 3,383.02 × 3,383.02
4. Step 4: Simplify right side
   2,380.64x = 11,444,794.72
5. Step 5: Solve for x
   x = 11,444,794.72/2,380.64
6. Step 6: Final answer
   x = 4,807.44