Finding the Third Proportional to 5,763.38 and 12,609.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,763.38 : 12,609.56 = 12,609.56 : x
2. Step 2: Convert to fraction form
   5,763.38/12,609.56 = 12,609.56/x
3. Step 3: Cross multiply
   5,763.38x = 12,609.56 × 12,609.56
4. Step 4: Simplify right side
   5,763.38x = 159,001,066.44
5. Step 5: Solve for x
   x = 159,001,066.44/5,763.38
6. Step 6: Final answer
   x = 27,588.19