Finding the Third Proportional to 1,734.54 and 2,686.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,734.54 : 2,686.61 = 2,686.61 : x
2. Step 2: Convert to fraction form
   1,734.54/2,686.61 = 2,686.61/x
3. Step 3: Cross multiply
   1,734.54x = 2,686.61 × 2,686.61
4. Step 4: Simplify right side
   1,734.54x = 7,217,848.94
5. Step 5: Solve for x
   x = 7,217,848.94/1,734.54
6. Step 6: Final answer
   x = 4,161.25