Finding the Third Proportional to 27,745.75 and 39,259.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,745.75 : 39,259.50 = 39,259.50 : x
2. Step 2: Convert to fraction form
   27,745.75/39,259.50 = 39,259.50/x
3. Step 3: Cross multiply
   27,745.75x = 39,259.50 × 39,259.50
4. Step 4: Simplify right side
   27,745.75x = 1,541,308,340.25
5. Step 5: Solve for x
   x = 1,541,308,340.25/27,745.75
6. Step 6: Final answer
   x = 55,551.15