Finding the Third Proportional to 1,455.47 and 3,204.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,455.47 : 3,204.56 = 3,204.56 : x
2. Step 2: Convert to fraction form
   1,455.47/3,204.56 = 3,204.56/x
3. Step 3: Cross multiply
   1,455.47x = 3,204.56 × 3,204.56
4. Step 4: Simplify right side
   1,455.47x = 10,269,220.82
5. Step 5: Solve for x
   x = 10,269,220.82/1,455.47
6. Step 6: Final answer
   x = 7,055.61