Finding the Third Proportional to 17,824 and 20,288

Step by Step Solution

1. Step 1: Write the proportion equation
   17,824 : 20,288 = 20,288 : x
2. Step 2: Convert to fraction form
   17,824/20,288 = 20,288/x
3. Step 3: Cross multiply
   17,824x = 20,288 × 20,288
4. Step 4: Simplify right side
   17,824x = 411,602,944
5. Step 5: Solve for x
   x = 411,602,944/17,824
6. Step 6: Final answer
   x = 23,092.62