Finding the Third Proportional to 6,816 and 10,588

Step by Step Solution

1. Step 1: Write the proportion equation
   6,816 : 10,588 = 10,588 : x
2. Step 2: Convert to fraction form
   6,816/10,588 = 10,588/x
3. Step 3: Cross multiply
   6,816x = 10,588 × 10,588
4. Step 4: Simplify right side
   6,816x = 112,105,744
5. Step 5: Solve for x
   x = 112,105,744/6,816
6. Step 6: Final answer
   x = 16,447.44