Finding the Third Proportional to 5,856 and 10,362

Step by Step Solution

1. Step 1: Write the proportion equation
   5,856 : 10,362 = 10,362 : x
2. Step 2: Convert to fraction form
   5,856/10,362 = 10,362/x
3. Step 3: Cross multiply
   5,856x = 10,362 × 10,362
4. Step 4: Simplify right side
   5,856x = 107,371,044
5. Step 5: Solve for x
   x = 107,371,044/5,856
6. Step 6: Final answer
   x = 18,335.22