Finding the Third Proportional to 10,265 and 21,826

Step by Step Solution

1. Step 1: Write the proportion equation
   10,265 : 21,826 = 21,826 : x
2. Step 2: Convert to fraction form
   10,265/21,826 = 21,826/x
3. Step 3: Cross multiply
   10,265x = 21,826 × 21,826
4. Step 4: Simplify right side
   10,265x = 476,374,276
5. Step 5: Solve for x
   x = 476,374,276/10,265
6. Step 6: Final answer
   x = 46,407.63