Finding the Third Proportional to 6,784 and 10,360

Step by Step Solution

1. Step 1: Write the proportion equation
   6,784 : 10,360 = 10,360 : x
2. Step 2: Convert to fraction form
   6,784/10,360 = 10,360/x
3. Step 3: Cross multiply
   6,784x = 10,360 × 10,360
4. Step 4: Simplify right side
   6,784x = 107,329,600
5. Step 5: Solve for x
   x = 107,329,600/6,784
6. Step 6: Final answer
   x = 15,820.99