Finding the Third Proportional to 10,824 and 19,992

Step by Step Solution

1. Step 1: Write the proportion equation
   10,824 : 19,992 = 19,992 : x
2. Step 2: Convert to fraction form
   10,824/19,992 = 19,992/x
3. Step 3: Cross multiply
   10,824x = 19,992 × 19,992
4. Step 4: Simplify right side
   10,824x = 399,680,064
5. Step 5: Solve for x
   x = 399,680,064/10,824
6. Step 6: Final answer
   x = 36,925.36