Finding the Third Proportional to 2,234.25 and 4,883.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,234.25 : 4,883.63 = 4,883.63 : x
2. Step 2: Convert to fraction form
   2,234.25/4,883.63 = 4,883.63/x
3. Step 3: Cross multiply
   2,234.25x = 4,883.63 × 4,883.63
4. Step 4: Simplify right side
   2,234.25x = 23,849,793.14
5. Step 5: Solve for x
   x = 23,849,793.14/2,234.25
6. Step 6: Final answer
   x = 10,674.63