Finding the Third Proportional to 2,384.44 and 3,647.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,384.44 : 3,647.81 = 3,647.81 : x
2. Step 2: Convert to fraction form
   2,384.44/3,647.81 = 3,647.81/x
3. Step 3: Cross multiply
   2,384.44x = 3,647.81 × 3,647.81
4. Step 4: Simplify right side
   2,384.44x = 13,306,536.04
5. Step 5: Solve for x
   x = 13,306,536.04/2,384.44
6. Step 6: Final answer
   x = 5,580.58