Finding the Third Proportional to 4,743.75 and 10,377.38

Step by Step Solution

1. Step 1: Write the proportion equation
   4,743.75 : 10,377.38 = 10,377.38 : x
2. Step 2: Convert to fraction form
   4,743.75/10,377.38 = 10,377.38/x
3. Step 3: Cross multiply
   4,743.75x = 10,377.38 × 10,377.38
4. Step 4: Simplify right side
   4,743.75x = 107,689,911.89
5. Step 5: Solve for x
   x = 107,689,911.89/4,743.75
6. Step 6: Final answer
   x = 22,701.43