Finding the Third Proportional to 5,106 and 10,538

Step by Step Solution

1. Step 1: Write the proportion equation
   5,106 : 10,538 = 10,538 : x
2. Step 2: Convert to fraction form
   5,106/10,538 = 10,538/x
3. Step 3: Cross multiply
   5,106x = 10,538 × 10,538
4. Step 4: Simplify right side
   5,106x = 111,049,444
5. Step 5: Solve for x
   x = 111,049,444/5,106
6. Step 6: Final answer
   x = 21,748.81