Finding the Third Proportional to 1,734 and 3,721.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,734 : 3,721.50 = 3,721.50 : x
2. Step 2: Convert to fraction form
   1,734/3,721.50 = 3,721.50/x
3. Step 3: Cross multiply
   1,734x = 3,721.50 × 3,721.50
4. Step 4: Simplify right side
   1,734x = 13,849,562.25
5. Step 5: Solve for x
   x = 13,849,562.25/1,734
6. Step 6: Final answer
   x = 7,987.06