Finding the Third Proportional to 2,456 and 3,875.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,456 : 3,875.25 = 3,875.25 : x
2. Step 2: Convert to fraction form
   2,456/3,875.25 = 3,875.25/x
3. Step 3: Cross multiply
   2,456x = 3,875.25 × 3,875.25
4. Step 4: Simplify right side
   2,456x = 15,017,562.56
5. Step 5: Solve for x
   x = 15,017,562.56/2,456
6. Step 6: Final answer
   x = 6,114.64