Finding the Third Proportional to 3,506.06 and 4,582.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,506.06 : 4,582.69 = 4,582.69 : x
2. Step 2: Convert to fraction form
   3,506.06/4,582.69 = 4,582.69/x
3. Step 3: Cross multiply
   3,506.06x = 4,582.69 × 4,582.69
4. Step 4: Simplify right side
   3,506.06x = 21,001,024.72
5. Step 5: Solve for x
   x = 21,001,024.72/3,506.06
6. Step 6: Final answer
   x = 5,989.92