Finding the Third Proportional to 10,086 and 14,688

Step by Step Solution

1. Step 1: Write the proportion equation
   10,086 : 14,688 = 14,688 : x
2. Step 2: Convert to fraction form
   10,086/14,688 = 14,688/x
3. Step 3: Cross multiply
   10,086x = 14,688 × 14,688
4. Step 4: Simplify right side
   10,086x = 215,737,344
5. Step 5: Solve for x
   x = 215,737,344/10,086
6. Step 6: Final answer
   x = 21,389.78