Finding the Third Proportional to 4,661.63 and 10,209.38

Step by Step Solution

1. Step 1: Write the proportion equation
   4,661.63 : 10,209.38 = 10,209.38 : x
2. Step 2: Convert to fraction form
   4,661.63/10,209.38 = 10,209.38/x
3. Step 3: Cross multiply
   4,661.63x = 10,209.38 × 10,209.38
4. Step 4: Simplify right side
   4,661.63x = 104,231,337.89
5. Step 5: Solve for x
   x = 104,231,337.89/4,661.63
6. Step 6: Final answer
   x = 22,359.44