Finding the Third Proportional to 5,823 and 10,938

Step by Step Solution

1. Step 1: Write the proportion equation
   5,823 : 10,938 = 10,938 : x
2. Step 2: Convert to fraction form
   5,823/10,938 = 10,938/x
3. Step 3: Cross multiply
   5,823x = 10,938 × 10,938
4. Step 4: Simplify right side
   5,823x = 119,639,844
5. Step 5: Solve for x
   x = 119,639,844/5,823
6. Step 6: Final answer
   x = 20,546.08