Finding the Third Proportional to 10,824 and 14,508

Step by Step Solution

1. Step 1: Write the proportion equation
   10,824 : 14,508 = 14,508 : x
2. Step 2: Convert to fraction form
   10,824/14,508 = 14,508/x
3. Step 3: Cross multiply
   10,824x = 14,508 × 14,508
4. Step 4: Simplify right side
   10,824x = 210,482,064
5. Step 5: Solve for x
   x = 210,482,064/10,824
6. Step 6: Final answer
   x = 19,445.87