Finding the Third Proportional to 852 and 1,871.25

Step by Step Solution

1. Step 1: Write the proportion equation
   852 : 1,871.25 = 1,871.25 : x
2. Step 2: Convert to fraction form
   852/1,871.25 = 1,871.25/x
3. Step 3: Cross multiply
   852x = 1,871.25 × 1,871.25
4. Step 4: Simplify right side
   852x = 3,501,576.56
5. Step 5: Solve for x
   x = 3,501,576.56/852
6. Step 6: Final answer
   x = 4,109.83