Finding the Third Proportional to 13,880 and 21,166

Step by Step Solution

1. Step 1: Write the proportion equation
   13,880 : 21,166 = 21,166 : x
2. Step 2: Convert to fraction form
   13,880/21,166 = 21,166/x
3. Step 3: Cross multiply
   13,880x = 21,166 × 21,166
4. Step 4: Simplify right side
   13,880x = 447,999,556
5. Step 5: Solve for x
   x = 447,999,556/13,880
6. Step 6: Final answer
   x = 32,276.63