Finding the Third Proportional to 13,688 and 21,110

Step by Step Solution

1. Step 1: Write the proportion equation
   13,688 : 21,110 = 21,110 : x
2. Step 2: Convert to fraction form
   13,688/21,110 = 21,110/x
3. Step 3: Cross multiply
   13,688x = 21,110 × 21,110
4. Step 4: Simplify right side
   13,688x = 445,632,100
5. Step 5: Solve for x
   x = 445,632,100/13,688
6. Step 6: Final answer
   x = 32,556.41