Finding the Third Proportional to 1,525.50 and 3,271.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,525.50 : 3,271.22 = 3,271.22 : x
2. Step 2: Convert to fraction form
   1,525.50/3,271.22 = 3,271.22/x
3. Step 3: Cross multiply
   1,525.50x = 3,271.22 × 3,271.22
4. Step 4: Simplify right side
   1,525.50x = 10,700,872.11
5. Step 5: Solve for x
   x = 10,700,872.11/1,525.50
6. Step 6: Final answer
   x = 7,014.67