Finding the Third Proportional to 4,586.63 and 10,128.38

Step by Step Solution

1. Step 1: Write the proportion equation
   4,586.63 : 10,128.38 = 10,128.38 : x
2. Step 2: Convert to fraction form
   4,586.63/10,128.38 = 10,128.38/x
3. Step 3: Cross multiply
   4,586.63x = 10,128.38 × 10,128.38
4. Step 4: Simplify right side
   4,586.63x = 102,583,980.14
5. Step 5: Solve for x
   x = 102,583,980.14/4,586.63
6. Step 6: Final answer
   x = 22,365.90