Finding the Third Proportional to 5,202 and 10,269

Step by Step Solution

1. Step 1: Write the proportion equation
   5,202 : 10,269 = 10,269 : x
2. Step 2: Convert to fraction form
   5,202/10,269 = 10,269/x
3. Step 3: Cross multiply
   5,202x = 10,269 × 10,269
4. Step 4: Simplify right side
   5,202x = 105,452,361
5. Step 5: Solve for x
   x = 105,452,361/5,202
6. Step 6: Final answer
   x = 20,271.50