Finding the Third Proportional to 5,839.59 and 12,598.03

Step by Step Solution

1. Step 1: Write the proportion equation
   5,839.59 : 12,598.03 = 12,598.03 : x
2. Step 2: Convert to fraction form
   5,839.59/12,598.03 = 12,598.03/x
3. Step 3: Cross multiply
   5,839.59x = 12,598.03 × 12,598.03
4. Step 4: Simplify right side
   5,839.59x = 158,710,391.38
5. Step 5: Solve for x
   x = 158,710,391.38/5,839.59
6. Step 6: Final answer
   x = 27,178.33