Finding the Third Proportional to 13,616.50 and 21,680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,616.50 : 21,680.50 = 21,680.50 : x
2. Step 2: Convert to fraction form
   13,616.50/21,680.50 = 21,680.50/x
3. Step 3: Cross multiply
   13,616.50x = 21,680.50 × 21,680.50
4. Step 4: Simplify right side
   13,616.50x = 470,044,080.25
5. Step 5: Solve for x
   x = 470,044,080.25/13,616.50
6. Step 6: Final answer
   x = 34,520.18