Finding the Third Proportional to 9,726 and 14,164

Step by Step Solution

1. Step 1: Write the proportion equation
   9,726 : 14,164 = 14,164 : x
2. Step 2: Convert to fraction form
   9,726/14,164 = 14,164/x
3. Step 3: Cross multiply
   9,726x = 14,164 × 14,164
4. Step 4: Simplify right side
   9,726x = 200,618,896
5. Step 5: Solve for x
   x = 200,618,896/9,726
6. Step 6: Final answer
   x = 20,627.07