Finding the Third Proportional to 5,877.56 and 12,791.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,877.56 : 12,791.25 = 12,791.25 : x
2. Step 2: Convert to fraction form
   5,877.56/12,791.25 = 12,791.25/x
3. Step 3: Cross multiply
   5,877.56x = 12,791.25 × 12,791.25
4. Step 4: Simplify right side
   5,877.56x = 163,616,076.56
5. Step 5: Solve for x
   x = 163,616,076.56/5,877.56
6. Step 6: Final answer
   x = 27,837.40