Finding the Third Proportional to 2,327.25 and 4,736.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,327.25 : 4,736.25 = 4,736.25 : x
2. Step 2: Convert to fraction form
   2,327.25/4,736.25 = 4,736.25/x
3. Step 3: Cross multiply
   2,327.25x = 4,736.25 × 4,736.25
4. Step 4: Simplify right side
   2,327.25x = 22,432,064.06
5. Step 5: Solve for x
   x = 22,432,064.06/2,327.25
6. Step 6: Final answer
   x = 9,638.87