Finding the Third Proportional to 2,705.27 and 3,638.36

Step by Step Solution

1. Step 1: Write the proportion equation
   2,705.27 : 3,638.36 = 3,638.36 : x
2. Step 2: Convert to fraction form
   2,705.27/3,638.36 = 3,638.36/x
3. Step 3: Cross multiply
   2,705.27x = 3,638.36 × 3,638.36
4. Step 4: Simplify right side
   2,705.27x = 13,237,630.52
5. Step 5: Solve for x
   x = 13,237,630.52/2,705.27
6. Step 6: Final answer
   x = 4,893.27