Finding the Third Proportional to 12,136 and 19,298

Step by Step Solution

1. Step 1: Write the proportion equation
   12,136 : 19,298 = 19,298 : x
2. Step 2: Convert to fraction form
   12,136/19,298 = 19,298/x
3. Step 3: Cross multiply
   12,136x = 19,298 × 19,298
4. Step 4: Simplify right side
   12,136x = 372,412,804
5. Step 5: Solve for x
   x = 372,412,804/12,136
6. Step 6: Final answer
   x = 30,686.62