Finding the Third Proportional to 1,744.88 and 2,364.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,744.88 : 2,364.19 = 2,364.19 : x
2. Step 2: Convert to fraction form
   1,744.88/2,364.19 = 2,364.19/x
3. Step 3: Cross multiply
   1,744.88x = 2,364.19 × 2,364.19
4. Step 4: Simplify right side
   1,744.88x = 5,589,382.54
5. Step 5: Solve for x
   x = 5,589,382.54/1,744.88
6. Step 6: Final answer
   x = 3,203.31