Finding the Third Proportional to 4,780.50 and 10,293.38

Step by Step Solution

1. Step 1: Write the proportion equation
   4,780.50 : 10,293.38 = 10,293.38 : x
2. Step 2: Convert to fraction form
   4,780.50/10,293.38 = 10,293.38/x
3. Step 3: Cross multiply
   4,780.50x = 10,293.38 × 10,293.38
4. Step 4: Simplify right side
   4,780.50x = 105,953,568.89
5. Step 5: Solve for x
   x = 105,953,568.89/4,780.50
6. Step 6: Final answer
   x = 22,163.70