Finding the Third Proportional to 23,424 and 31,794

Step by Step Solution

1. Step 1: Write the proportion equation
   23,424 : 31,794 = 31,794 : x
2. Step 2: Convert to fraction form
   23,424/31,794 = 31,794/x
3. Step 3: Cross multiply
   23,424x = 31,794 × 31,794
4. Step 4: Simplify right side
   23,424x = 1,010,858,436
5. Step 5: Solve for x
   x = 1,010,858,436/23,424
6. Step 6: Final answer
   x = 43,154.82