Finding the Third Proportional to 10,585 and 23,259

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585 : 23,259 = 23,259 : x
2. Step 2: Convert to fraction form
   10,585/23,259 = 23,259/x
3. Step 3: Cross multiply
   10,585x = 23,259 × 23,259
4. Step 4: Simplify right side
   10,585x = 540,981,081
5. Step 5: Solve for x
   x = 540,981,081/10,585
6. Step 6: Final answer
   x = 51,108.27