Finding the Third Proportional to 2,108.21 and 4,626.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,108.21 : 4,626.49 = 4,626.49 : x
2. Step 2: Convert to fraction form
   2,108.21/4,626.49 = 4,626.49/x
3. Step 3: Cross multiply
   2,108.21x = 4,626.49 × 4,626.49
4. Step 4: Simplify right side
   2,108.21x = 21,404,429.96
5. Step 5: Solve for x
   x = 21,404,429.96/2,108.21
6. Step 6: Final answer
   x = 10,152.87