Finding the Third Proportional to 8,102.25 and 17,587.69

Step by Step Solution

1. Step 1: Write the proportion equation
   8,102.25 : 17,587.69 = 17,587.69 : x
2. Step 2: Convert to fraction form
   8,102.25/17,587.69 = 17,587.69/x
3. Step 3: Cross multiply
   8,102.25x = 17,587.69 × 17,587.69
4. Step 4: Simplify right side
   8,102.25x = 309,326,751.60
5. Step 5: Solve for x
   x = 309,326,751.60/8,102.25
6. Step 6: Final answer
   x = 38,177.88