Finding the Third Proportional to 3,456 and 3,910.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,456 : 3,910.50 = 3,910.50 : x
2. Step 2: Convert to fraction form
   3,456/3,910.50 = 3,910.50/x
3. Step 3: Cross multiply
   3,456x = 3,910.50 × 3,910.50
4. Step 4: Simplify right side
   3,456x = 15,292,010.25
5. Step 5: Solve for x
   x = 15,292,010.25/3,456
6. Step 6: Final answer
   x = 4,424.77