Finding the Third Proportional to 5,977.13 and 12,369.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,977.13 : 12,369.38 = 12,369.38 : x
2. Step 2: Convert to fraction form
   5,977.13/12,369.38 = 12,369.38/x
3. Step 3: Cross multiply
   5,977.13x = 12,369.38 × 12,369.38
4. Step 4: Simplify right side
   5,977.13x = 153,001,437.89
5. Step 5: Solve for x
   x = 153,001,437.89/5,977.13
6. Step 6: Final answer
   x = 25,597.83