Finding the Third Proportional to 6,820 and 13,262

Step by Step Solution

1. Step 1: Write the proportion equation
   6,820 : 13,262 = 13,262 : x
2. Step 2: Convert to fraction form
   6,820/13,262 = 13,262/x
3. Step 3: Cross multiply
   6,820x = 13,262 × 13,262
4. Step 4: Simplify right side
   6,820x = 175,880,644
5. Step 5: Solve for x
   x = 175,880,644/6,820
6. Step 6: Final answer
   x = 25,788.95