Finding the Third Proportional to 10,162 and 22,323

Step by Step Solution

1. Step 1: Write the proportion equation
   10,162 : 22,323 = 22,323 : x
2. Step 2: Convert to fraction form
   10,162/22,323 = 22,323/x
3. Step 3: Cross multiply
   10,162x = 22,323 × 22,323
4. Step 4: Simplify right side
   10,162x = 498,316,329
5. Step 5: Solve for x
   x = 498,316,329/10,162
6. Step 6: Final answer
   x = 49,037.23