Finding the Third Proportional to 3,638.25 and 8,429.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,638.25 : 8,429.63 = 8,429.63 : x
2. Step 2: Convert to fraction form
   3,638.25/8,429.63 = 8,429.63/x
3. Step 3: Cross multiply
   3,638.25x = 8,429.63 × 8,429.63
4. Step 4: Simplify right side
   3,638.25x = 71,058,577.64
5. Step 5: Solve for x
   x = 71,058,577.64/3,638.25
6. Step 6: Final answer
   x = 19,530.98