Finding the Third Proportional to 7,766 and 16,960

Step by Step Solution

1. Step 1: Write the proportion equation
   7,766 : 16,960 = 16,960 : x
2. Step 2: Convert to fraction form
   7,766/16,960 = 16,960/x
3. Step 3: Cross multiply
   7,766x = 16,960 × 16,960
4. Step 4: Simplify right side
   7,766x = 287,641,600
5. Step 5: Solve for x
   x = 287,641,600/7,766
6. Step 6: Final answer
   x = 37,038.58