Finding the Third Proportional to 17,824 and 31,760

Step by Step Solution

1. Step 1: Write the proportion equation
   17,824 : 31,760 = 31,760 : x
2. Step 2: Convert to fraction form
   17,824/31,760 = 31,760/x
3. Step 3: Cross multiply
   17,824x = 31,760 × 31,760
4. Step 4: Simplify right side
   17,824x = 1,008,697,600
5. Step 5: Solve for x
   x = 1,008,697,600/17,824
6. Step 6: Final answer
   x = 56,592.10