Finding the Third Proportional to 13,684 and 21,764

Step by Step Solution

1. Step 1: Write the proportion equation
   13,684 : 21,764 = 21,764 : x
2. Step 2: Convert to fraction form
   13,684/21,764 = 21,764/x
3. Step 3: Cross multiply
   13,684x = 21,764 × 21,764
4. Step 4: Simplify right side
   13,684x = 473,671,696
5. Step 5: Solve for x
   x = 473,671,696/13,684
6. Step 6: Final answer
   x = 34,615.00