Finding the Third Proportional to 1,582.88 and 2,394.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582.88 : 2,394.56 = 2,394.56 : x
2. Step 2: Convert to fraction form
   1,582.88/2,394.56 = 2,394.56/x
3. Step 3: Cross multiply
   1,582.88x = 2,394.56 × 2,394.56
4. Step 4: Simplify right side
   1,582.88x = 5,733,929.57
5. Step 5: Solve for x
   x = 5,733,929.57/1,582.88
6. Step 6: Final answer
   x = 3,622.48