Finding the Third Proportional to 2,557.20 and 3,622.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,557.20 : 3,622.22 = 3,622.22 : x
2. Step 2: Convert to fraction form
   2,557.20/3,622.22 = 3,622.22/x
3. Step 3: Cross multiply
   2,557.20x = 3,622.22 × 3,622.22
4. Step 4: Simplify right side
   2,557.20x = 13,120,468.67
5. Step 5: Solve for x
   x = 13,120,468.67/2,557.20
6. Step 6: Final answer
   x = 5,130.80