Finding the Third Proportional to 6,526 and 12,734

Step by Step Solution

1. Step 1: Write the proportion equation
   6,526 : 12,734 = 12,734 : x
2. Step 2: Convert to fraction form
   6,526/12,734 = 12,734/x
3. Step 3: Cross multiply
   6,526x = 12,734 × 12,734
4. Step 4: Simplify right side
   6,526x = 162,154,756
5. Step 5: Solve for x
   x = 162,154,756/6,526
6. Step 6: Final answer
   x = 24,847.50