Finding the Third Proportional to 3,271.50 and 4,871.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,271.50 : 4,871.50 = 4,871.50 : x
2. Step 2: Convert to fraction form
   3,271.50/4,871.50 = 4,871.50/x
3. Step 3: Cross multiply
   3,271.50x = 4,871.50 × 4,871.50
4. Step 4: Simplify right side
   3,271.50x = 23,731,512.25
5. Step 5: Solve for x
   x = 23,731,512.25/3,271.50
6. Step 6: Final answer
   x = 7,254.02