Finding the Third Proportional to 2,439.75 and 3,776.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,439.75 : 3,776.25 = 3,776.25 : x
2. Step 2: Convert to fraction form
   2,439.75/3,776.25 = 3,776.25/x
3. Step 3: Cross multiply
   2,439.75x = 3,776.25 × 3,776.25
4. Step 4: Simplify right side
   2,439.75x = 14,260,064.06
5. Step 5: Solve for x
   x = 14,260,064.06/2,439.75
6. Step 6: Final answer
   x = 5,844.89