Finding the Third Proportional to 6,784 and 10,516

Step by Step Solution

1. Step 1: Write the proportion equation
   6,784 : 10,516 = 10,516 : x
2. Step 2: Convert to fraction form
   6,784/10,516 = 10,516/x
3. Step 3: Cross multiply
   6,784x = 10,516 × 10,516
4. Step 4: Simplify right side
   6,784x = 110,586,256
5. Step 5: Solve for x
   x = 110,586,256/6,784
6. Step 6: Final answer
   x = 16,301.04