Finding the Third Proportional to 9,628 and 14,094

Step by Step Solution

1. Step 1: Write the proportion equation
   9,628 : 14,094 = 14,094 : x
2. Step 2: Convert to fraction form
   9,628/14,094 = 14,094/x
3. Step 3: Cross multiply
   9,628x = 14,094 × 14,094
4. Step 4: Simplify right side
   9,628x = 198,640,836
5. Step 5: Solve for x
   x = 198,640,836/9,628
6. Step 6: Final answer
   x = 20,631.58