Finding the Third Proportional to 1,746 and 3,671.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,746 : 3,671.25 = 3,671.25 : x
2. Step 2: Convert to fraction form
   1,746/3,671.25 = 3,671.25/x
3. Step 3: Cross multiply
   1,746x = 3,671.25 × 3,671.25
4. Step 4: Simplify right side
   1,746x = 13,478,076.56
5. Step 5: Solve for x
   x = 13,478,076.56/1,746
6. Step 6: Final answer
   x = 7,719.40