Finding the Third Proportional to 1,737.75 and 2,694.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,737.75 : 2,694.81 = 2,694.81 : x
2. Step 2: Convert to fraction form
   1,737.75/2,694.81 = 2,694.81/x
3. Step 3: Cross multiply
   1,737.75x = 2,694.81 × 2,694.81
4. Step 4: Simplify right side
   1,737.75x = 7,262,014.41
5. Step 5: Solve for x
   x = 7,262,014.41/1,737.75
6. Step 6: Final answer
   x = 4,178.98