Finding the Third Proportional to 2,180.25 and 3,380.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,180.25 : 3,380.63 = 3,380.63 : x
2. Step 2: Convert to fraction form
   2,180.25/3,380.63 = 3,380.63/x
3. Step 3: Cross multiply
   2,180.25x = 3,380.63 × 3,380.63
4. Step 4: Simplify right side
   2,180.25x = 11,428,625.39
5. Step 5: Solve for x
   x = 11,428,625.39/2,180.25
6. Step 6: Final answer
   x = 5,241.89