Finding the Third Proportional to 10,858 and 23,794

Step by Step Solution

1. Step 1: Write the proportion equation
   10,858 : 23,794 = 23,794 : x
2. Step 2: Convert to fraction form
   10,858/23,794 = 23,794/x
3. Step 3: Cross multiply
   10,858x = 23,794 × 23,794
4. Step 4: Simplify right side
   10,858x = 566,154,436
5. Step 5: Solve for x
   x = 566,154,436/10,858
6. Step 6: Final answer
   x = 52,141.69