Finding the Third Proportional to 1,180.41 and 2,735.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,180.41 : 2,735.86 = 2,735.86 : x
2. Step 2: Convert to fraction form
   1,180.41/2,735.86 = 2,735.86/x
3. Step 3: Cross multiply
   1,180.41x = 2,735.86 × 2,735.86
4. Step 4: Simplify right side
   1,180.41x = 7,484,926.52
5. Step 5: Solve for x
   x = 7,484,926.52/1,180.41
6. Step 6: Final answer
   x = 6,340.97