Finding the Third Proportional to 8,102 and 17,166.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,102 : 17,166.25 = 17,166.25 : x
2. Step 2: Convert to fraction form
   8,102/17,166.25 = 17,166.25/x
3. Step 3: Cross multiply
   8,102x = 17,166.25 × 17,166.25
4. Step 4: Simplify right side
   8,102x = 294,680,139.06
5. Step 5: Solve for x
   x = 294,680,139.06/8,102
6. Step 6: Final answer
   x = 36,371.28