Finding the Third Proportional to 10,723 and 22,416

Step by Step Solution

1. Step 1: Write the proportion equation
   10,723 : 22,416 = 22,416 : x
2. Step 2: Convert to fraction form
   10,723/22,416 = 22,416/x
3. Step 3: Cross multiply
   10,723x = 22,416 × 22,416
4. Step 4: Simplify right side
   10,723x = 502,477,056
5. Step 5: Solve for x
   x = 502,477,056/10,723
6. Step 6: Final answer
   x = 46,859.75