Finding the Third Proportional to 1,546.13 and 3,231.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,546.13 : 3,231.38 = 3,231.38 : x
2. Step 2: Convert to fraction form
   1,546.13/3,231.38 = 3,231.38/x
3. Step 3: Cross multiply
   1,546.13x = 3,231.38 × 3,231.38
4. Step 4: Simplify right side
   1,546.13x = 10,441,784.39
5. Step 5: Solve for x
   x = 10,441,784.39/1,546.13
6. Step 6: Final answer
   x = 6,753.52