Finding the Third Proportional to 2,170.69 and 3,215.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,170.69 : 3,215.25 = 3,215.25 : x
2. Step 2: Convert to fraction form
   2,170.69/3,215.25 = 3,215.25/x
3. Step 3: Cross multiply
   2,170.69x = 3,215.25 × 3,215.25
4. Step 4: Simplify right side
   2,170.69x = 10,337,832.56
5. Step 5: Solve for x
   x = 10,337,832.56/2,170.69
6. Step 6: Final answer
   x = 4,762.47