Finding the Third Proportional to 9,546 and 13,953

Step by Step Solution

1. Step 1: Write the proportion equation
   9,546 : 13,953 = 13,953 : x
2. Step 2: Convert to fraction form
   9,546/13,953 = 13,953/x
3. Step 3: Cross multiply
   9,546x = 13,953 × 13,953
4. Step 4: Simplify right side
   9,546x = 194,686,209
5. Step 5: Solve for x
   x = 194,686,209/9,546
6. Step 6: Final answer
   x = 20,394.53