Finding the Third Proportional to 10,814 and 22,436

Step by Step Solution

1. Step 1: Write the proportion equation
   10,814 : 22,436 = 22,436 : x
2. Step 2: Convert to fraction form
   10,814/22,436 = 22,436/x
3. Step 3: Cross multiply
   10,814x = 22,436 × 22,436
4. Step 4: Simplify right side
   10,814x = 503,374,096
5. Step 5: Solve for x
   x = 503,374,096/10,814
6. Step 6: Final answer
   x = 46,548.37