Finding the Third Proportional to 4,647.38 and 10,018.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,647.38 : 10,018.69 = 10,018.69 : x
2. Step 2: Convert to fraction form
   4,647.38/10,018.69 = 10,018.69/x
3. Step 3: Cross multiply
   4,647.38x = 10,018.69 × 10,018.69
4. Step 4: Simplify right side
   4,647.38x = 100,374,099.22
5. Step 5: Solve for x
   x = 100,374,099.22/4,647.38
6. Step 6: Final answer
   x = 21,598.02