Finding the Third Proportional to 6,824 and 10,887

Step by Step Solution

1. Step 1: Write the proportion equation
   6,824 : 10,887 = 10,887 : x
2. Step 2: Convert to fraction form
   6,824/10,887 = 10,887/x
3. Step 3: Cross multiply
   6,824x = 10,887 × 10,887
4. Step 4: Simplify right side
   6,824x = 118,526,769
5. Step 5: Solve for x
   x = 118,526,769/6,824
6. Step 6: Final answer
   x = 17,369.10