Finding the Third Proportional to 8,105.25 and 17,630.63

Step by Step Solution

1. Step 1: Write the proportion equation
   8,105.25 : 17,630.63 = 17,630.63 : x
2. Step 2: Convert to fraction form
   8,105.25/17,630.63 = 17,630.63/x
3. Step 3: Cross multiply
   8,105.25x = 17,630.63 × 17,630.63
4. Step 4: Simplify right side
   8,105.25x = 310,838,937.89
5. Step 5: Solve for x
   x = 310,838,937.89/8,105.25
6. Step 6: Final answer
   x = 38,350.32