Finding the Third Proportional to 1,549.69 and 2,582.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,549.69 : 2,582.72 = 2,582.72 : x
2. Step 2: Convert to fraction form
   1,549.69/2,582.72 = 2,582.72/x
3. Step 3: Cross multiply
   1,549.69x = 2,582.72 × 2,582.72
4. Step 4: Simplify right side
   1,549.69x = 6,670,436.14
5. Step 5: Solve for x
   x = 6,670,436.14/1,549.69
6. Step 6: Final answer
   x = 4,304.38