Finding the Third Proportional to 6,346 and 13,136

Step by Step Solution

1. Step 1: Write the proportion equation
   6,346 : 13,136 = 13,136 : x
2. Step 2: Convert to fraction form
   6,346/13,136 = 13,136/x
3. Step 3: Cross multiply
   6,346x = 13,136 × 13,136
4. Step 4: Simplify right side
   6,346x = 172,554,496
5. Step 5: Solve for x
   x = 172,554,496/6,346
6. Step 6: Final answer
   x = 27,191.06