Finding the Third Proportional to 5,285 and 10,813

Step by Step Solution

1. Step 1: Write the proportion equation
   5,285 : 10,813 = 10,813 : x
2. Step 2: Convert to fraction form
   5,285/10,813 = 10,813/x
3. Step 3: Cross multiply
   5,285x = 10,813 × 10,813
4. Step 4: Simplify right side
   5,285x = 116,920,969
5. Step 5: Solve for x
   x = 116,920,969/5,285
6. Step 6: Final answer
   x = 22,123.17