Finding the Third Proportional to 3,456 and 5,170.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,456 : 5,170.50 = 5,170.50 : x
2. Step 2: Convert to fraction form
   3,456/5,170.50 = 5,170.50/x
3. Step 3: Cross multiply
   3,456x = 5,170.50 × 5,170.50
4. Step 4: Simplify right side
   3,456x = 26,734,070.25
5. Step 5: Solve for x
   x = 26,734,070.25/3,456
6. Step 6: Final answer
   x = 7,735.55