Finding the Third Proportional to 6,136.75 and 12,820.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,136.75 : 12,820.25 = 12,820.25 : x
2. Step 2: Convert to fraction form
   6,136.75/12,820.25 = 12,820.25/x
3. Step 3: Cross multiply
   6,136.75x = 12,820.25 × 12,820.25
4. Step 4: Simplify right side
   6,136.75x = 164,358,810.06
5. Step 5: Solve for x
   x = 164,358,810.06/6,136.75
6. Step 6: Final answer
   x = 26,782.71