Finding the Third Proportional to 1,496.38 and 3,213.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,496.38 : 3,213.25 = 3,213.25 : x
2. Step 2: Convert to fraction form
   1,496.38/3,213.25 = 3,213.25/x
3. Step 3: Cross multiply
   1,496.38x = 3,213.25 × 3,213.25
4. Step 4: Simplify right side
   1,496.38x = 10,324,975.56
5. Step 5: Solve for x
   x = 10,324,975.56/1,496.38
6. Step 6: Final answer
   x = 6,899.99