Finding the Third Proportional to 5,985.75 and 12,142.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,985.75 : 12,142.38 = 12,142.38 : x
2. Step 2: Convert to fraction form
   5,985.75/12,142.38 = 12,142.38/x
3. Step 3: Cross multiply
   5,985.75x = 12,142.38 × 12,142.38
4. Step 4: Simplify right side
   5,985.75x = 147,437,270.64
5. Step 5: Solve for x
   x = 147,437,270.64/5,985.75
6. Step 6: Final answer
   x = 24,631.38