Finding the Third Proportional to 5,977.69 and 11,802.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,977.69 : 11,802.38 = 11,802.38 : x
2. Step 2: Convert to fraction form
   5,977.69/11,802.38 = 11,802.38/x
3. Step 3: Cross multiply
   5,977.69x = 11,802.38 × 11,802.38
4. Step 4: Simplify right side
   5,977.69x = 139,296,055.64
5. Step 5: Solve for x
   x = 139,296,055.64/5,977.69
6. Step 6: Final answer
   x = 23,302.67