Finding the Third Proportional to 9,688 and 13,764

Step by Step Solution

1. Step 1: Write the proportion equation
   9,688 : 13,764 = 13,764 : x
2. Step 2: Convert to fraction form
   9,688/13,764 = 13,764/x
3. Step 3: Cross multiply
   9,688x = 13,764 × 13,764
4. Step 4: Simplify right side
   9,688x = 189,447,696
5. Step 5: Solve for x
   x = 189,447,696/9,688
6. Step 6: Final answer
   x = 19,554.88