Finding the Third Proportional to 2,005.25 and 4,830.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.25 : 4,830.75 = 4,830.75 : x
2. Step 2: Convert to fraction form
   2,005.25/4,830.75 = 4,830.75/x
3. Step 3: Cross multiply
   2,005.25x = 4,830.75 × 4,830.75
4. Step 4: Simplify right side
   2,005.25x = 23,336,145.56
5. Step 5: Solve for x
   x = 23,336,145.56/2,005.25
6. Step 6: Final answer
   x = 11,637.52