Finding the Third Proportional to 7,680.50 and 16,790.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,680.50 : 16,790.50 = 16,790.50 : x
2. Step 2: Convert to fraction form
   7,680.50/16,790.50 = 16,790.50/x
3. Step 3: Cross multiply
   7,680.50x = 16,790.50 × 16,790.50
4. Step 4: Simplify right side
   7,680.50x = 281,920,890.25
5. Step 5: Solve for x
   x = 281,920,890.25/7,680.50
6. Step 6: Final answer
   x = 36,706.06