Finding the Third Proportional to 5,830 and 10,316

Step by Step Solution

1. Step 1: Write the proportion equation
   5,830 : 10,316 = 10,316 : x
2. Step 2: Convert to fraction form
   5,830/10,316 = 10,316/x
3. Step 3: Cross multiply
   5,830x = 10,316 × 10,316
4. Step 4: Simplify right side
   5,830x = 106,419,856
5. Step 5: Solve for x
   x = 106,419,856/5,830
6. Step 6: Final answer
   x = 18,253.83