Finding the Third Proportional to 9,896 and 13,219

Step by Step Solution

1. Step 1: Write the proportion equation
   9,896 : 13,219 = 13,219 : x
2. Step 2: Convert to fraction form
   9,896/13,219 = 13,219/x
3. Step 3: Cross multiply
   9,896x = 13,219 × 13,219
4. Step 4: Simplify right side
   9,896x = 174,741,961
5. Step 5: Solve for x
   x = 174,741,961/9,896
6. Step 6: Final answer
   x = 17,657.84