Finding the Third Proportional to 2,138.06 and 4,638.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,138.06 : 4,638.09 = 4,638.09 : x
2. Step 2: Convert to fraction form
   2,138.06/4,638.09 = 4,638.09/x
3. Step 3: Cross multiply
   2,138.06x = 4,638.09 × 4,638.09
4. Step 4: Simplify right side
   2,138.06x = 21,511,913.63
5. Step 5: Solve for x
   x = 21,511,913.63/2,138.06
6. Step 6: Final answer
   x = 10,061.41