Finding the Third Proportional to 1,465.75 and 3,165.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,465.75 : 3,165.38 = 3,165.38 : x
2. Step 2: Convert to fraction form
   1,465.75/3,165.38 = 3,165.38/x
3. Step 3: Cross multiply
   1,465.75x = 3,165.38 × 3,165.38
4. Step 4: Simplify right side
   1,465.75x = 10,019,598.89
5. Step 5: Solve for x
   x = 10,019,598.89/1,465.75
6. Step 6: Final answer
   x = 6,835.82