Finding the Third Proportional to 9,732 and 13,771

Step by Step Solution

1. Step 1: Write the proportion equation
   9,732 : 13,771 = 13,771 : x
2. Step 2: Convert to fraction form
   9,732/13,771 = 13,771/x
3. Step 3: Cross multiply
   9,732x = 13,771 × 13,771
4. Step 4: Simplify right side
   9,732x = 189,640,441
5. Step 5: Solve for x
   x = 189,640,441/9,732
6. Step 6: Final answer
   x = 19,486.28