Finding the Third Proportional to 10,642 and 22,864

Step by Step Solution

1. Step 1: Write the proportion equation
   10,642 : 22,864 = 22,864 : x
2. Step 2: Convert to fraction form
   10,642/22,864 = 22,864/x
3. Step 3: Cross multiply
   10,642x = 22,864 × 22,864
4. Step 4: Simplify right side
   10,642x = 522,762,496
5. Step 5: Solve for x
   x = 522,762,496/10,642
6. Step 6: Final answer
   x = 49,122.58