Finding the Third Proportional to 8,535.75 and 17,753.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,535.75 : 17,753.25 = 17,753.25 : x
2. Step 2: Convert to fraction form
   8,535.75/17,753.25 = 17,753.25/x
3. Step 3: Cross multiply
   8,535.75x = 17,753.25 × 17,753.25
4. Step 4: Simplify right side
   8,535.75x = 315,177,885.56
5. Step 5: Solve for x
   x = 315,177,885.56/8,535.75
6. Step 6: Final answer
   x = 36,924.45