Finding the Third Proportional to 16,120 and 21,770

Step by Step Solution

1. Step 1: Write the proportion equation
   16,120 : 21,770 = 21,770 : x
2. Step 2: Convert to fraction form
   16,120/21,770 = 21,770/x
3. Step 3: Cross multiply
   16,120x = 21,770 × 21,770
4. Step 4: Simplify right side
   16,120x = 473,932,900
5. Step 5: Solve for x
   x = 473,932,900/16,120
6. Step 6: Final answer
   x = 29,400.30