Finding the Third Proportional to 10,824 and 17,964

Step by Step Solution

1. Step 1: Write the proportion equation
   10,824 : 17,964 = 17,964 : x
2. Step 2: Convert to fraction form
   10,824/17,964 = 17,964/x
3. Step 3: Cross multiply
   10,824x = 17,964 × 17,964
4. Step 4: Simplify right side
   10,824x = 322,705,296
5. Step 5: Solve for x
   x = 322,705,296/10,824
6. Step 6: Final answer
   x = 29,813.87