Finding the Third Proportional to 10,735 and 22,886

Step by Step Solution

1. Step 1: Write the proportion equation
   10,735 : 22,886 = 22,886 : x
2. Step 2: Convert to fraction form
   10,735/22,886 = 22,886/x
3. Step 3: Cross multiply
   10,735x = 22,886 × 22,886
4. Step 4: Simplify right side
   10,735x = 523,768,996
5. Step 5: Solve for x
   x = 523,768,996/10,735
6. Step 6: Final answer
   x = 48,790.78