Finding the Third Proportional to 5,109 and 10,537

Step by Step Solution

1. Step 1: Write the proportion equation
   5,109 : 10,537 = 10,537 : x
2. Step 2: Convert to fraction form
   5,109/10,537 = 10,537/x
3. Step 3: Cross multiply
   5,109x = 10,537 × 10,537
4. Step 4: Simplify right side
   5,109x = 111,028,369
5. Step 5: Solve for x
   x = 111,028,369/5,109
6. Step 6: Final answer
   x = 21,731.92