Finding the Third Proportional to 2,638.41 and 3,973.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,638.41 : 3,973.22 = 3,973.22 : x
2. Step 2: Convert to fraction form
   2,638.41/3,973.22 = 3,973.22/x
3. Step 3: Cross multiply
   2,638.41x = 3,973.22 × 3,973.22
4. Step 4: Simplify right side
   2,638.41x = 15,786,467.24
5. Step 5: Solve for x
   x = 15,786,467.24/2,638.41
6. Step 6: Final answer
   x = 5,983.33