Finding the Third Proportional to 13,817 and 21,614

Step by Step Solution

1. Step 1: Write the proportion equation
   13,817 : 21,614 = 21,614 : x
2. Step 2: Convert to fraction form
   13,817/21,614 = 21,614/x
3. Step 3: Cross multiply
   13,817x = 21,614 × 21,614
4. Step 4: Simplify right side
   13,817x = 467,164,996
5. Step 5: Solve for x
   x = 467,164,996/13,817
6. Step 6: Final answer
   x = 33,810.88