Finding the Third Proportional to 2,164 and 3,710

Step by Step Solution

1. Step 1: Write the proportion equation
   2,164 : 3,710 = 3,710 : x
2. Step 2: Convert to fraction form
   2,164/3,710 = 3,710/x
3. Step 3: Cross multiply
   2,164x = 3,710 × 3,710
4. Step 4: Simplify right side
   2,164x = 13,764,100
5. Step 5: Solve for x
   x = 13,764,100/2,164
6. Step 6: Final answer
   x = 6,360.49