Finding the Third Proportional to 8,587.25 and 17,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,587.25 : 17,633.50 = 17,633.50 : x
2. Step 2: Convert to fraction form
   8,587.25/17,633.50 = 17,633.50/x
3. Step 3: Cross multiply
   8,587.25x = 17,633.50 × 17,633.50
4. Step 4: Simplify right side
   8,587.25x = 310,940,322.25
5. Step 5: Solve for x
   x = 310,940,322.25/8,587.25
6. Step 6: Final answer
   x = 36,209.53