Finding the Third Proportional to 10,723 and 23,078

Step by Step Solution

1. Step 1: Write the proportion equation
   10,723 : 23,078 = 23,078 : x
2. Step 2: Convert to fraction form
   10,723/23,078 = 23,078/x
3. Step 3: Cross multiply
   10,723x = 23,078 × 23,078
4. Step 4: Simplify right side
   10,723x = 532,594,084
5. Step 5: Solve for x
   x = 532,594,084/10,723
6. Step 6: Final answer
   x = 49,668.38