Finding the Third Proportional to 9,700 and 13,766

Step by Step Solution

1. Step 1: Write the proportion equation
   9,700 : 13,766 = 13,766 : x
2. Step 2: Convert to fraction form
   9,700/13,766 = 13,766/x
3. Step 3: Cross multiply
   9,700x = 13,766 × 13,766
4. Step 4: Simplify right side
   9,700x = 189,502,756
5. Step 5: Solve for x
   x = 189,502,756/9,700
6. Step 6: Final answer
   x = 19,536.37