Finding the Third Proportional to 8,133.75 and 17,759.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,133.75 : 17,759.25 = 17,759.25 : x
2. Step 2: Convert to fraction form
   8,133.75/17,759.25 = 17,759.25/x
3. Step 3: Cross multiply
   8,133.75x = 17,759.25 × 17,759.25
4. Step 4: Simplify right side
   8,133.75x = 315,390,960.56
5. Step 5: Solve for x
   x = 315,390,960.56/8,133.75
6. Step 6: Final answer
   x = 38,775.59