Finding the Third Proportional to 1,727.58 and 2,433.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,727.58 : 2,433.80 = 2,433.80 : x
2. Step 2: Convert to fraction form
   1,727.58/2,433.80 = 2,433.80/x
3. Step 3: Cross multiply
   1,727.58x = 2,433.80 × 2,433.80
4. Step 4: Simplify right side
   1,727.58x = 5,923,367.23
5. Step 5: Solve for x
   x = 5,923,367.23/1,727.58
6. Step 6: Final answer
   x = 3,428.71