Finding the Third Proportional to 6,136.25 and 12,819.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,136.25 : 12,819.25 = 12,819.25 : x
2. Step 2: Convert to fraction form
   6,136.25/12,819.25 = 12,819.25/x
3. Step 3: Cross multiply
   6,136.25x = 12,819.25 × 12,819.25
4. Step 4: Simplify right side
   6,136.25x = 164,333,170.56
5. Step 5: Solve for x
   x = 164,333,170.56/6,136.25
6. Step 6: Final answer
   x = 26,780.72