Finding the Third Proportional to 946.69 and 1,582.31

Step by Step Solution

1. Step 1: Write the proportion equation
   946.69 : 1,582.31 = 1,582.31 : x
2. Step 2: Convert to fraction form
   946.69/1,582.31 = 1,582.31/x
3. Step 3: Cross multiply
   946.69x = 1,582.31 × 1,582.31
4. Step 4: Simplify right side
   946.69x = 2,503,712.85
5. Step 5: Solve for x
   x = 2,503,712.85/946.69
6. Step 6: Final answer
   x = 2,644.71