Finding the Third Proportional to 1,201.47 and 2,582.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,201.47 : 2,582.56 = 2,582.56 : x
2. Step 2: Convert to fraction form
   1,201.47/2,582.56 = 2,582.56/x
3. Step 3: Cross multiply
   1,201.47x = 2,582.56 × 2,582.56
4. Step 4: Simplify right side
   1,201.47x = 6,669,629.07
5. Step 5: Solve for x
   x = 6,669,629.07/1,201.47
6. Step 6: Final answer
   x = 5,551.23