Finding the Third Proportional to 1,728.84 and 2,737.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,728.84 : 2,737.55 = 2,737.55 : x
2. Step 2: Convert to fraction form
   1,728.84/2,737.55 = 2,737.55/x
3. Step 3: Cross multiply
   1,728.84x = 2,737.55 × 2,737.55
4. Step 4: Simplify right side
   1,728.84x = 7,494,162.89
5. Step 5: Solve for x
   x = 7,494,162.89/1,728.84
6. Step 6: Final answer
   x = 4,334.78