Finding the Third Proportional to 2,255.63 and 4,766.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,255.63 : 4,766.63 = 4,766.63 : x
2. Step 2: Convert to fraction form
   2,255.63/4,766.63 = 4,766.63/x
3. Step 3: Cross multiply
   2,255.63x = 4,766.63 × 4,766.63
4. Step 4: Simplify right side
   2,255.63x = 22,720,713.89
5. Step 5: Solve for x
   x = 22,720,713.89/2,255.63
6. Step 6: Final answer
   x = 10,072.91