Finding the Third Proportional to 25,735.50 and 39,102.75

Step by Step Solution

1. Step 1: Write the proportion equation
   25,735.50 : 39,102.75 = 39,102.75 : x
2. Step 2: Convert to fraction form
   25,735.50/39,102.75 = 39,102.75/x
3. Step 3: Cross multiply
   25,735.50x = 39,102.75 × 39,102.75
4. Step 4: Simplify right side
   25,735.50x = 1,529,025,057.56
5. Step 5: Solve for x
   x = 1,529,025,057.56/25,735.50
6. Step 6: Final answer
   x = 59,413.07