Finding the Third Proportional to 10,824 and 22,160

Step by Step Solution

1. Step 1: Write the proportion equation
   10,824 : 22,160 = 22,160 : x
2. Step 2: Convert to fraction form
   10,824/22,160 = 22,160/x
3. Step 3: Cross multiply
   10,824x = 22,160 × 22,160
4. Step 4: Simplify right side
   10,824x = 491,065,600
5. Step 5: Solve for x
   x = 491,065,600/10,824
6. Step 6: Final answer
   x = 45,368.22