Finding the Third Proportional to 2,182.50 and 4,770

Step by Step Solution

1. Step 1: Write the proportion equation
   2,182.50 : 4,770 = 4,770 : x
2. Step 2: Convert to fraction form
   2,182.50/4,770 = 4,770/x
3. Step 3: Cross multiply
   2,182.50x = 4,770 × 4,770
4. Step 4: Simplify right side
   2,182.50x = 22,752,900
5. Step 5: Solve for x
   x = 22,752,900/2,182.50
6. Step 6: Final answer
   x = 10,425.15