Finding the Third Proportional to 4,770 and 10,399.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,770 : 10,399.50 = 10,399.50 : x
2. Step 2: Convert to fraction form
   4,770/10,399.50 = 10,399.50/x
3. Step 3: Cross multiply
   4,770x = 10,399.50 × 10,399.50
4. Step 4: Simplify right side
   4,770x = 108,149,600.25
5. Step 5: Solve for x
   x = 108,149,600.25/4,770
6. Step 6: Final answer
   x = 22,672.87