Finding the Third Proportional to 2,136.94 and 2,314.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,136.94 : 2,314.13 = 2,314.13 : x
2. Step 2: Convert to fraction form
   2,136.94/2,314.13 = 2,314.13/x
3. Step 3: Cross multiply
   2,136.94x = 2,314.13 × 2,314.13
4. Step 4: Simplify right side
   2,136.94x = 5,355,174.52
5. Step 5: Solve for x
   x = 5,355,174.52/2,136.94
6. Step 6: Final answer
   x = 2,506.00