Finding the Third Proportional to 9,536 and 13,680

Step by Step Solution

1. Step 1: Write the proportion equation
   9,536 : 13,680 = 13,680 : x
2. Step 2: Convert to fraction form
   9,536/13,680 = 13,680/x
3. Step 3: Cross multiply
   9,536x = 13,680 × 13,680
4. Step 4: Simplify right side
   9,536x = 187,142,400
5. Step 5: Solve for x
   x = 187,142,400/9,536
6. Step 6: Final answer
   x = 19,624.83