Finding the Third Proportional to 3,852 and 7,123.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,852 : 7,123.50 = 7,123.50 : x
2. Step 2: Convert to fraction form
   3,852/7,123.50 = 7,123.50/x
3. Step 3: Cross multiply
   3,852x = 7,123.50 × 7,123.50
4. Step 4: Simplify right side
   3,852x = 50,744,252.25
5. Step 5: Solve for x
   x = 50,744,252.25/3,852
6. Step 6: Final answer
   x = 13,173.48