Finding the Third Proportional to 2,116.69 and 5,136.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,116.69 : 5,136.19 = 5,136.19 : x
2. Step 2: Convert to fraction form
   2,116.69/5,136.19 = 5,136.19/x
3. Step 3: Cross multiply
   2,116.69x = 5,136.19 × 5,136.19
4. Step 4: Simplify right side
   2,116.69x = 26,380,422.04
5. Step 5: Solve for x
   x = 26,380,422.04/2,116.69
6. Step 6: Final answer
   x = 12,463.07