Finding the Third Proportional to 2,780.25 and 7,325.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,780.25 : 7,325.25 = 7,325.25 : x
2. Step 2: Convert to fraction form
   2,780.25/7,325.25 = 7,325.25/x
3. Step 3: Cross multiply
   2,780.25x = 7,325.25 × 7,325.25
4. Step 4: Simplify right side
   2,780.25x = 53,659,287.56
5. Step 5: Solve for x
   x = 53,659,287.56/2,780.25
6. Step 6: Final answer
   x = 19,300.17