Finding the Third Proportional to 1,706 and 3,168.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,706 : 3,168.50 = 3,168.50 : x
2. Step 2: Convert to fraction form
   1,706/3,168.50 = 3,168.50/x
3. Step 3: Cross multiply
   1,706x = 3,168.50 × 3,168.50
4. Step 4: Simplify right side
   1,706x = 10,039,392.25
5. Step 5: Solve for x
   x = 10,039,392.25/1,706
6. Step 6: Final answer
   x = 5,884.76