Finding the Third Proportional to 10,645 and 22,856

Step by Step Solution

1. Step 1: Write the proportion equation
   10,645 : 22,856 = 22,856 : x
2. Step 2: Convert to fraction form
   10,645/22,856 = 22,856/x
3. Step 3: Cross multiply
   10,645x = 22,856 × 22,856
4. Step 4: Simplify right side
   10,645x = 522,396,736
5. Step 5: Solve for x
   x = 522,396,736/10,645
6. Step 6: Final answer
   x = 49,074.38