Finding the Third Proportional to 10,080 and 13,688

Step by Step Solution

1. Step 1: Write the proportion equation
   10,080 : 13,688 = 13,688 : x
2. Step 2: Convert to fraction form
   10,080/13,688 = 13,688/x
3. Step 3: Cross multiply
   10,080x = 13,688 × 13,688
4. Step 4: Simplify right side
   10,080x = 187,361,344
5. Step 5: Solve for x
   x = 187,361,344/10,080
6. Step 6: Final answer
   x = 18,587.43