Finding the Third Proportional to 9,796 and 13,954

Step by Step Solution

1. Step 1: Write the proportion equation
   9,796 : 13,954 = 13,954 : x
2. Step 2: Convert to fraction form
   9,796/13,954 = 13,954/x
3. Step 3: Cross multiply
   9,796x = 13,954 × 13,954
4. Step 4: Simplify right side
   9,796x = 194,714,116
5. Step 5: Solve for x
   x = 194,714,116/9,796
6. Step 6: Final answer
   x = 19,876.90