Finding the Third Proportional to 2,634.75 and 3,945.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,634.75 : 3,945.25 = 3,945.25 : x
2. Step 2: Convert to fraction form
   2,634.75/3,945.25 = 3,945.25/x
3. Step 3: Cross multiply
   2,634.75x = 3,945.25 × 3,945.25
4. Step 4: Simplify right side
   2,634.75x = 15,564,997.56
5. Step 5: Solve for x
   x = 15,564,997.56/2,634.75
6. Step 6: Final answer
   x = 5,907.58