Finding the Third Proportional to 2,136.94 and 4,694.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,136.94 : 4,694.06 = 4,694.06 : x
2. Step 2: Convert to fraction form
   2,136.94/4,694.06 = 4,694.06/x
3. Step 3: Cross multiply
   2,136.94x = 4,694.06 × 4,694.06
4. Step 4: Simplify right side
   2,136.94x = 22,034,222.75
5. Step 5: Solve for x
   x = 22,034,222.75/2,136.94
6. Step 6: Final answer
   x = 10,311.12