Finding the Third Proportional to 2,327.75 and 4,914.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,327.75 : 4,914.25 = 4,914.25 : x
2. Step 2: Convert to fraction form
   2,327.75/4,914.25 = 4,914.25/x
3. Step 3: Cross multiply
   2,327.75x = 4,914.25 × 4,914.25
4. Step 4: Simplify right side
   2,327.75x = 24,149,853.06
5. Step 5: Solve for x
   x = 24,149,853.06/2,327.75
6. Step 6: Final answer
   x = 10,374.76