Finding the Third Proportional to 6,806 and 12,136

Step by Step Solution

1. Step 1: Write the proportion equation
   6,806 : 12,136 = 12,136 : x
2. Step 2: Convert to fraction form
   6,806/12,136 = 12,136/x
3. Step 3: Cross multiply
   6,806x = 12,136 × 12,136
4. Step 4: Simplify right side
   6,806x = 147,282,496
5. Step 5: Solve for x
   x = 147,282,496/6,806
6. Step 6: Final answer
   x = 21,640.10