Finding the Third Proportional to 1,509.75 and 3,216.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,509.75 : 3,216.38 = 3,216.38 : x
2. Step 2: Convert to fraction form
   1,509.75/3,216.38 = 3,216.38/x
3. Step 3: Cross multiply
   1,509.75x = 3,216.38 × 3,216.38
4. Step 4: Simplify right side
   1,509.75x = 10,345,068.14
5. Step 5: Solve for x
   x = 10,345,068.14/1,509.75
6. Step 6: Final answer
   x = 6,852.17