Finding the Third Proportional to 9,541 and 13,997

Step by Step Solution

1. Step 1: Write the proportion equation
   9,541 : 13,997 = 13,997 : x
2. Step 2: Convert to fraction form
   9,541/13,997 = 13,997/x
3. Step 3: Cross multiply
   9,541x = 13,997 × 13,997
4. Step 4: Simplify right side
   9,541x = 195,916,009
5. Step 5: Solve for x
   x = 195,916,009/9,541
6. Step 6: Final answer
   x = 20,534.12