Finding the Third Proportional to 13,706.50 and 20,504.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,706.50 : 20,504.50 = 20,504.50 : x
2. Step 2: Convert to fraction form
   13,706.50/20,504.50 = 20,504.50/x
3. Step 3: Cross multiply
   13,706.50x = 20,504.50 × 20,504.50
4. Step 4: Simplify right side
   13,706.50x = 420,434,520.25
5. Step 5: Solve for x
   x = 420,434,520.25/13,706.50
6. Step 6: Final answer
   x = 30,674.10