Finding the Third Proportional to 2,725.31 and 4,196.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,725.31 : 4,196.81 = 4,196.81 : x
2. Step 2: Convert to fraction form
   2,725.31/4,196.81 = 4,196.81/x
3. Step 3: Cross multiply
   2,725.31x = 4,196.81 × 4,196.81
4. Step 4: Simplify right side
   2,725.31x = 17,613,235.16
5. Step 5: Solve for x
   x = 17,613,235.16/2,725.31
6. Step 6: Final answer
   x = 6,462.83