Finding the Third Proportional to 2,450 and 5,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,450 : 5,780.50 = 5,780.50 : x
2. Step 2: Convert to fraction form
   2,450/5,780.50 = 5,780.50/x
3. Step 3: Cross multiply
   2,450x = 5,780.50 × 5,780.50
4. Step 4: Simplify right side
   2,450x = 33,414,180.25
5. Step 5: Solve for x
   x = 33,414,180.25/2,450
6. Step 6: Final answer
   x = 13,638.44