Finding the Third Proportional to 5,835 and 10,338

Step by Step Solution

1. Step 1: Write the proportion equation
   5,835 : 10,338 = 10,338 : x
2. Step 2: Convert to fraction form
   5,835/10,338 = 10,338/x
3. Step 3: Cross multiply
   5,835x = 10,338 × 10,338
4. Step 4: Simplify right side
   5,835x = 106,874,244
5. Step 5: Solve for x
   x = 106,874,244/5,835
6. Step 6: Final answer
   x = 18,316.07