Finding the Third Proportional to 5,791.38 and 12,072.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,791.38 : 12,072.50 = 12,072.50 : x
2. Step 2: Convert to fraction form
   5,791.38/12,072.50 = 12,072.50/x
3. Step 3: Cross multiply
   5,791.38x = 12,072.50 × 12,072.50
4. Step 4: Simplify right side
   5,791.38x = 145,745,256.25
5. Step 5: Solve for x
   x = 145,745,256.25/5,791.38
6. Step 6: Final answer
   x = 25,165.92