Finding the Third Proportional to 4,738.50 and 10,398.38

Step by Step Solution

1. Step 1: Write the proportion equation
   4,738.50 : 10,398.38 = 10,398.38 : x
2. Step 2: Convert to fraction form
   4,738.50/10,398.38 = 10,398.38/x
3. Step 3: Cross multiply
   4,738.50x = 10,398.38 × 10,398.38
4. Step 4: Simplify right side
   4,738.50x = 108,126,202.64
5. Step 5: Solve for x
   x = 108,126,202.64/4,738.50
6. Step 6: Final answer
   x = 22,818.66