Finding the Third Proportional to 4,822 and 10,259

Step by Step Solution

1. Step 1: Write the proportion equation
   4,822 : 10,259 = 10,259 : x
2. Step 2: Convert to fraction form
   4,822/10,259 = 10,259/x
3. Step 3: Cross multiply
   4,822x = 10,259 × 10,259
4. Step 4: Simplify right side
   4,822x = 105,247,081
5. Step 5: Solve for x
   x = 105,247,081/4,822
6. Step 6: Final answer
   x = 21,826.44