Finding the Third Proportional to 7,696.50 and 16,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,696.50 : 16,783.50 = 16,783.50 : x
2. Step 2: Convert to fraction form
   7,696.50/16,783.50 = 16,783.50/x
3. Step 3: Cross multiply
   7,696.50x = 16,783.50 × 16,783.50
4. Step 4: Simplify right side
   7,696.50x = 281,685,872.25
5. Step 5: Solve for x
   x = 281,685,872.25/7,696.50
6. Step 6: Final answer
   x = 36,599.22