Finding the Third Proportional to 17,758.50 and 38,286.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,758.50 : 38,286.75 = 38,286.75 : x
2. Step 2: Convert to fraction form
   17,758.50/38,286.75 = 38,286.75/x
3. Step 3: Cross multiply
   17,758.50x = 38,286.75 × 38,286.75
4. Step 4: Simplify right side
   17,758.50x = 1,465,875,225.56
5. Step 5: Solve for x
   x = 1,465,875,225.56/17,758.50
6. Step 6: Final answer
   x = 82,544.99