Finding the Third Proportional to 4,814 and 10,374

Step by Step Solution

1. Step 1: Write the proportion equation
   4,814 : 10,374 = 10,374 : x
2. Step 2: Convert to fraction form
   4,814/10,374 = 10,374/x
3. Step 3: Cross multiply
   4,814x = 10,374 × 10,374
4. Step 4: Simplify right side
   4,814x = 107,619,876
5. Step 5: Solve for x
   x = 107,619,876/4,814
6. Step 6: Final answer
   x = 22,355.60