Finding the Third Proportional to 10,072.69 and 14,136.19

Step by Step Solution

1. Step 1: Write the proportion equation
   10,072.69 : 14,136.19 = 14,136.19 : x
2. Step 2: Convert to fraction form
   10,072.69/14,136.19 = 14,136.19/x
3. Step 3: Cross multiply
   10,072.69x = 14,136.19 × 14,136.19
4. Step 4: Simplify right side
   10,072.69x = 199,831,797.04
5. Step 5: Solve for x
   x = 199,831,797.04/10,072.69
6. Step 6: Final answer
   x = 19,838.98