Finding the Third Proportional to 2,511.94 and 3,980.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,511.94 : 3,980.63 = 3,980.63 : x
2. Step 2: Convert to fraction form
   2,511.94/3,980.63 = 3,980.63/x
3. Step 3: Cross multiply
   2,511.94x = 3,980.63 × 3,980.63
4. Step 4: Simplify right side
   2,511.94x = 15,845,375.39
5. Step 5: Solve for x
   x = 15,845,375.39/2,511.94
6. Step 6: Final answer
   x = 6,308.03