Finding the Third Proportional to 3,456 and 5,440.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,456 : 5,440.50 = 5,440.50 : x
2. Step 2: Convert to fraction form
   3,456/5,440.50 = 5,440.50/x
3. Step 3: Cross multiply
   3,456x = 5,440.50 × 5,440.50
4. Step 4: Simplify right side
   3,456x = 29,599,040.25
5. Step 5: Solve for x
   x = 29,599,040.25/3,456
6. Step 6: Final answer
   x = 8,564.54