Finding the Third Proportional to 9,796 and 13,606

Step by Step Solution

1. Step 1: Write the proportion equation
   9,796 : 13,606 = 13,606 : x
2. Step 2: Convert to fraction form
   9,796/13,606 = 13,606/x
3. Step 3: Cross multiply
   9,796x = 13,606 × 13,606
4. Step 4: Simplify right side
   9,796x = 185,123,236
5. Step 5: Solve for x
   x = 185,123,236/9,796
6. Step 6: Final answer
   x = 18,897.84