Finding the Third Proportional to 16,540 and 22,194

Step by Step Solution

1. Step 1: Write the proportion equation
   16,540 : 22,194 = 22,194 : x
2. Step 2: Convert to fraction form
   16,540/22,194 = 22,194/x
3. Step 3: Cross multiply
   16,540x = 22,194 × 22,194
4. Step 4: Simplify right side
   16,540x = 492,573,636
5. Step 5: Solve for x
   x = 492,573,636/16,540
6. Step 6: Final answer
   x = 29,780.75