Finding the Third Proportional to 3,147.25 and 4,856.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,147.25 : 4,856.25 = 4,856.25 : x
2. Step 2: Convert to fraction form
   3,147.25/4,856.25 = 4,856.25/x
3. Step 3: Cross multiply
   3,147.25x = 4,856.25 × 4,856.25
4. Step 4: Simplify right side
   3,147.25x = 23,583,164.06
5. Step 5: Solve for x
   x = 23,583,164.06/3,147.25
6. Step 6: Final answer
   x = 7,493.26