Finding the Third Proportional to 17,757.50 and 38,282.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,757.50 : 38,282.75 = 38,282.75 : x
2. Step 2: Convert to fraction form
   17,757.50/38,282.75 = 38,282.75/x
3. Step 3: Cross multiply
   17,757.50x = 38,282.75 × 38,282.75
4. Step 4: Simplify right side
   17,757.50x = 1,465,568,947.56
5. Step 5: Solve for x
   x = 1,465,568,947.56/17,757.50
6. Step 6: Final answer
   x = 82,532.39