Finding the Third Proportional to 7,744 and 10,784

Step by Step Solution

1. Step 1: Write the proportion equation
   7,744 : 10,784 = 10,784 : x
2. Step 2: Convert to fraction form
   7,744/10,784 = 10,784/x
3. Step 3: Cross multiply
   7,744x = 10,784 × 10,784
4. Step 4: Simplify right side
   7,744x = 116,294,656
5. Step 5: Solve for x
   x = 116,294,656/7,744
6. Step 6: Final answer
   x = 15,017.39