Finding the Third Proportional to 1,746.56 and 2,665.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,746.56 : 2,665.41 = 2,665.41 : x
2. Step 2: Convert to fraction form
   1,746.56/2,665.41 = 2,665.41/x
3. Step 3: Cross multiply
   1,746.56x = 2,665.41 × 2,665.41
4. Step 4: Simplify right side
   1,746.56x = 7,104,390.48
5. Step 5: Solve for x
   x = 7,104,390.48/1,746.56
6. Step 6: Final answer
   x = 4,067.64