Finding the Third Proportional to 1,401.75 and 3,582.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,401.75 : 3,582.38 = 3,582.38 : x
2. Step 2: Convert to fraction form
   1,401.75/3,582.38 = 3,582.38/x
3. Step 3: Cross multiply
   1,401.75x = 3,582.38 × 3,582.38
4. Step 4: Simplify right side
   1,401.75x = 12,833,410.64
5. Step 5: Solve for x
   x = 12,833,410.64/1,401.75
6. Step 6: Final answer
   x = 9,155.28