Finding the Third Proportional to 13,816 and 21,538

Step by Step Solution

1. Step 1: Write the proportion equation
   13,816 : 21,538 = 21,538 : x
2. Step 2: Convert to fraction form
   13,816/21,538 = 21,538/x
3. Step 3: Cross multiply
   13,816x = 21,538 × 21,538
4. Step 4: Simplify right side
   13,816x = 463,885,444
5. Step 5: Solve for x
   x = 463,885,444/13,816
6. Step 6: Final answer
   x = 33,575.96