Finding the Third Proportional to 8,896 and 13,820

Step by Step Solution

1. Step 1: Write the proportion equation
   8,896 : 13,820 = 13,820 : x
2. Step 2: Convert to fraction form
   8,896/13,820 = 13,820/x
3. Step 3: Cross multiply
   8,896x = 13,820 × 13,820
4. Step 4: Simplify right side
   8,896x = 190,992,400
5. Step 5: Solve for x
   x = 190,992,400/8,896
6. Step 6: Final answer
   x = 21,469.47