Finding the Third Proportional to 13,666 and 21,730

Step by Step Solution

1. Step 1: Write the proportion equation
   13,666 : 21,730 = 21,730 : x
2. Step 2: Convert to fraction form
   13,666/21,730 = 21,730/x
3. Step 3: Cross multiply
   13,666x = 21,730 × 21,730
4. Step 4: Simplify right side
   13,666x = 472,192,900
5. Step 5: Solve for x
   x = 472,192,900/13,666
6. Step 6: Final answer
   x = 34,552.39