Finding the Third Proportional to 2,280.70 and 3,437.37

Step by Step Solution

1. Step 1: Write the proportion equation
   2,280.70 : 3,437.37 = 3,437.37 : x
2. Step 2: Convert to fraction form
   2,280.70/3,437.37 = 3,437.37/x
3. Step 3: Cross multiply
   2,280.70x = 3,437.37 × 3,437.37
4. Step 4: Simplify right side
   2,280.70x = 11,815,493.18
5. Step 5: Solve for x
   x = 11,815,493.18/2,280.70
6. Step 6: Final answer
   x = 5,180.64