Finding the Third Proportional to 5,945.50 and 12,804.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,945.50 : 12,804.50 = 12,804.50 : x
2. Step 2: Convert to fraction form
   5,945.50/12,804.50 = 12,804.50/x
3. Step 3: Cross multiply
   5,945.50x = 12,804.50 × 12,804.50
4. Step 4: Simplify right side
   5,945.50x = 163,955,220.25
5. Step 5: Solve for x
   x = 163,955,220.25/5,945.50
6. Step 6: Final answer
   x = 27,576.36