Finding the Third Proportional to 5,269.50 and 10,721.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,269.50 : 10,721.25 = 10,721.25 : x
2. Step 2: Convert to fraction form
   5,269.50/10,721.25 = 10,721.25/x
3. Step 3: Cross multiply
   5,269.50x = 10,721.25 × 10,721.25
4. Step 4: Simplify right side
   5,269.50x = 114,945,201.56
5. Step 5: Solve for x
   x = 114,945,201.56/5,269.50
6. Step 6: Final answer
   x = 21,813.30