Finding the Third Proportional to 17,785.75 and 25,760.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,785.75 : 25,760.50 = 25,760.50 : x
2. Step 2: Convert to fraction form
   17,785.75/25,760.50 = 25,760.50/x
3. Step 3: Cross multiply
   17,785.75x = 25,760.50 × 25,760.50
4. Step 4: Simplify right side
   17,785.75x = 663,603,360.25
5. Step 5: Solve for x
   x = 663,603,360.25/17,785.75
6. Step 6: Final answer
   x = 37,310.96