Finding the Third Proportional to 2,725.31 and 4,194.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,725.31 : 4,194.56 = 4,194.56 : x
2. Step 2: Convert to fraction form
   2,725.31/4,194.56 = 4,194.56/x
3. Step 3: Cross multiply
   2,725.31x = 4,194.56 × 4,194.56
4. Step 4: Simplify right side
   2,725.31x = 17,594,354.57
5. Step 5: Solve for x
   x = 17,594,354.57/2,725.31
6. Step 6: Final answer
   x = 6,455.90