Finding the Third Proportional to 2,636.93 and 5,626.97

Step by Step Solution

1. Step 1: Write the proportion equation
   2,636.93 : 5,626.97 = 5,626.97 : x
2. Step 2: Convert to fraction form
   2,636.93/5,626.97 = 5,626.97/x
3. Step 3: Cross multiply
   2,636.93x = 5,626.97 × 5,626.97
4. Step 4: Simplify right side
   2,636.93x = 31,662,777.31
5. Step 5: Solve for x
   x = 31,662,777.31/2,636.93
6. Step 6: Final answer
   x = 12,007.44