Finding the Third Proportional to 2,157 and 3,241.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,157 : 3,241.50 = 3,241.50 : x
2. Step 2: Convert to fraction form
   2,157/3,241.50 = 3,241.50/x
3. Step 3: Cross multiply
   2,157x = 3,241.50 × 3,241.50
4. Step 4: Simplify right side
   2,157x = 10,507,322.25
5. Step 5: Solve for x
   x = 10,507,322.25/2,157
6. Step 6: Final answer
   x = 4,871.27