Finding the Third Proportional to 6,576 and 10,784

Step by Step Solution

1. Step 1: Write the proportion equation
   6,576 : 10,784 = 10,784 : x
2. Step 2: Convert to fraction form
   6,576/10,784 = 10,784/x
3. Step 3: Cross multiply
   6,576x = 10,784 × 10,784
4. Step 4: Simplify right side
   6,576x = 116,294,656
5. Step 5: Solve for x
   x = 116,294,656/6,576
6. Step 6: Final answer
   x = 17,684.71