Finding the Third Proportional to 19,738.50 and 25,608.75

Step by Step Solution

1. Step 1: Write the proportion equation
   19,738.50 : 25,608.75 = 25,608.75 : x
2. Step 2: Convert to fraction form
   19,738.50/25,608.75 = 25,608.75/x
3. Step 3: Cross multiply
   19,738.50x = 25,608.75 × 25,608.75
4. Step 4: Simplify right side
   19,738.50x = 655,808,076.56
5. Step 5: Solve for x
   x = 655,808,076.56/19,738.50
6. Step 6: Final answer
   x = 33,224.82