Finding the Third Proportional to 2,425.78 and 2,758.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,425.78 : 2,758.22 = 2,758.22 : x
2. Step 2: Convert to fraction form
   2,425.78/2,758.22 = 2,758.22/x
3. Step 3: Cross multiply
   2,425.78x = 2,758.22 × 2,758.22
4. Step 4: Simplify right side
   2,425.78x = 7,607,770.67
5. Step 5: Solve for x
   x = 7,607,770.67/2,425.78
6. Step 6: Final answer
   x = 3,136.21