Finding the Third Proportional to 9,680 and 13,088

Step by Step Solution

1. Step 1: Write the proportion equation
   9,680 : 13,088 = 13,088 : x
2. Step 2: Convert to fraction form
   9,680/13,088 = 13,088/x
3. Step 3: Cross multiply
   9,680x = 13,088 × 13,088
4. Step 4: Simplify right side
   9,680x = 171,295,744
5. Step 5: Solve for x
   x = 171,295,744/9,680
6. Step 6: Final answer
   x = 17,695.84