Finding the Third Proportional to 6,526 and 13,676

Step by Step Solution

1. Step 1: Write the proportion equation
   6,526 : 13,676 = 13,676 : x
2. Step 2: Convert to fraction form
   6,526/13,676 = 13,676/x
3. Step 3: Cross multiply
   6,526x = 13,676 × 13,676
4. Step 4: Simplify right side
   6,526x = 187,032,976
5. Step 5: Solve for x
   x = 187,032,976/6,526
6. Step 6: Final answer
   x = 28,659.67