Finding the Third Proportional to 9,526 and 13,722

Step by Step Solution

1. Step 1: Write the proportion equation
   9,526 : 13,722 = 13,722 : x
2. Step 2: Convert to fraction form
   9,526/13,722 = 13,722/x
3. Step 3: Cross multiply
   9,526x = 13,722 × 13,722
4. Step 4: Simplify right side
   9,526x = 188,293,284
5. Step 5: Solve for x
   x = 188,293,284/9,526
6. Step 6: Final answer
   x = 19,766.25