Finding the Third Proportional to 1,738.34 and 3,771.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,738.34 : 3,771.56 = 3,771.56 : x
2. Step 2: Convert to fraction form
   1,738.34/3,771.56 = 3,771.56/x
3. Step 3: Cross multiply
   1,738.34x = 3,771.56 × 3,771.56
4. Step 4: Simplify right side
   1,738.34x = 14,224,683.69
5. Step 5: Solve for x
   x = 14,224,683.69/1,738.34
6. Step 6: Final answer
   x = 8,182.93