Finding the Third Proportional to 1,738.34 and 2,695.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,738.34 : 2,695.78 = 2,695.78 : x
2. Step 2: Convert to fraction form
   1,738.34/2,695.78 = 2,695.78/x
3. Step 3: Cross multiply
   1,738.34x = 2,695.78 × 2,695.78
4. Step 4: Simplify right side
   1,738.34x = 7,267,236.55
5. Step 5: Solve for x
   x = 7,267,236.55/1,738.34
6. Step 6: Final answer
   x = 4,180.57