Finding the Third Proportional to 6,500 and 12,808

Step by Step Solution

1. Step 1: Write the proportion equation
   6,500 : 12,808 = 12,808 : x
2. Step 2: Convert to fraction form
   6,500/12,808 = 12,808/x
3. Step 3: Cross multiply
   6,500x = 12,808 × 12,808
4. Step 4: Simplify right side
   6,500x = 164,044,864
5. Step 5: Solve for x
   x = 164,044,864/6,500
6. Step 6: Final answer
   x = 25,237.67