Finding the Third Proportional to 10,824 and 14,607

Step by Step Solution

1. Step 1: Write the proportion equation
   10,824 : 14,607 = 14,607 : x
2. Step 2: Convert to fraction form
   10,824/14,607 = 14,607/x
3. Step 3: Cross multiply
   10,824x = 14,607 × 14,607
4. Step 4: Simplify right side
   10,824x = 213,364,449
5. Step 5: Solve for x
   x = 213,364,449/10,824
6. Step 6: Final answer
   x = 19,712.16