Finding the Third Proportional to 8,102 and 17,500

Step by Step Solution

1. Step 1: Write the proportion equation
   8,102 : 17,500 = 17,500 : x
2. Step 2: Convert to fraction form
   8,102/17,500 = 17,500/x
3. Step 3: Cross multiply
   8,102x = 17,500 × 17,500
4. Step 4: Simplify right side
   8,102x = 306,250,000
5. Step 5: Solve for x
   x = 306,250,000/8,102
6. Step 6: Final answer
   x = 37,799.31