Finding the Third Proportional to 4,683.38 and 10,022.63

Step by Step Solution

1. Step 1: Write the proportion equation
   4,683.38 : 10,022.63 = 10,022.63 : x
2. Step 2: Convert to fraction form
   4,683.38/10,022.63 = 10,022.63/x
3. Step 3: Cross multiply
   4,683.38x = 10,022.63 × 10,022.63
4. Step 4: Simplify right side
   4,683.38x = 100,453,011.89
5. Step 5: Solve for x
   x = 100,453,011.89/4,683.38
6. Step 6: Final answer
   x = 21,448.85