Finding the Third Proportional to 1,203.38 and 2,636.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,203.38 : 2,636.53 = 2,636.53 : x
2. Step 2: Convert to fraction form
   1,203.38/2,636.53 = 2,636.53/x
3. Step 3: Cross multiply
   1,203.38x = 2,636.53 × 2,636.53
4. Step 4: Simplify right side
   1,203.38x = 6,951,297.03
5. Step 5: Solve for x
   x = 6,951,297.03/1,203.38
6. Step 6: Final answer
   x = 5,776.50