Finding the Third Proportional to 2,225.63 and 3,180.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,225.63 : 3,180.56 = 3,180.56 : x
2. Step 2: Convert to fraction form
   2,225.63/3,180.56 = 3,180.56/x
3. Step 3: Cross multiply
   2,225.63x = 3,180.56 × 3,180.56
4. Step 4: Simplify right side
   2,225.63x = 10,115,977.82
5. Step 5: Solve for x
   x = 10,115,977.82/2,225.63
6. Step 6: Final answer
   x = 4,545.23