Finding the Third Proportional to 5,333 and 10,819

Step by Step Solution

1. Step 1: Write the proportion equation
   5,333 : 10,819 = 10,819 : x
2. Step 2: Convert to fraction form
   5,333/10,819 = 10,819/x
3. Step 3: Cross multiply
   5,333x = 10,819 × 10,819
4. Step 4: Simplify right side
   5,333x = 117,050,761
5. Step 5: Solve for x
   x = 117,050,761/5,333
6. Step 6: Final answer
   x = 21,948.39