Finding the Third Proportional to 3,744.56 and 5,873.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,744.56 : 5,873.63 = 5,873.63 : x
2. Step 2: Convert to fraction form
   3,744.56/5,873.63 = 5,873.63/x
3. Step 3: Cross multiply
   3,744.56x = 5,873.63 × 5,873.63
4. Step 4: Simplify right side
   3,744.56x = 34,499,470.64
5. Step 5: Solve for x
   x = 34,499,470.64/3,744.56
6. Step 6: Final answer
   x = 9,213.22