Finding the Third Proportional to 23,826 and 35,623

Step by Step Solution

1. Step 1: Write the proportion equation
   23,826 : 35,623 = 35,623 : x
2. Step 2: Convert to fraction form
   23,826/35,623 = 35,623/x
3. Step 3: Cross multiply
   23,826x = 35,623 × 35,623
4. Step 4: Simplify right side
   23,826x = 1,268,998,129
5. Step 5: Solve for x
   x = 1,268,998,129/23,826
6. Step 6: Final answer
   x = 53,261.06