Finding the Third Proportional to 14,188 and 21,666

Step by Step Solution

1. Step 1: Write the proportion equation
   14,188 : 21,666 = 21,666 : x
2. Step 2: Convert to fraction form
   14,188/21,666 = 21,666/x
3. Step 3: Cross multiply
   14,188x = 21,666 × 21,666
4. Step 4: Simplify right side
   14,188x = 469,415,556
5. Step 5: Solve for x
   x = 469,415,556/14,188
6. Step 6: Final answer
   x = 33,085.39