Finding the Third Proportional to 5,755.88 and 12,609.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,755.88 : 12,609.38 = 12,609.38 : x
2. Step 2: Convert to fraction form
   5,755.88/12,609.38 = 12,609.38/x
3. Step 3: Cross multiply
   5,755.88x = 12,609.38 × 12,609.38
4. Step 4: Simplify right side
   5,755.88x = 158,996,337.89
5. Step 5: Solve for x
   x = 158,996,337.89/5,755.88
6. Step 6: Final answer
   x = 27,623.31