Finding the Third Proportional to 4,856.75 and 10,421.38

Step by Step Solution

1. Step 1: Write the proportion equation
   4,856.75 : 10,421.38 = 10,421.38 : x
2. Step 2: Convert to fraction form
   4,856.75/10,421.38 = 10,421.38/x
3. Step 3: Cross multiply
   4,856.75x = 10,421.38 × 10,421.38
4. Step 4: Simplify right side
   4,856.75x = 108,605,056.89
5. Step 5: Solve for x
   x = 108,605,056.89/4,856.75
6. Step 6: Final answer
   x = 22,361.67