Finding the Third Proportional to 3,717.50 and 8,003

Step by Step Solution

1. Step 1: Write the proportion equation
   3,717.50 : 8,003 = 8,003 : x
2. Step 2: Convert to fraction form
   3,717.50/8,003 = 8,003/x
3. Step 3: Cross multiply
   3,717.50x = 8,003 × 8,003
4. Step 4: Simplify right side
   3,717.50x = 64,048,009
5. Step 5: Solve for x
   x = 64,048,009/3,717.50
6. Step 6: Final answer
   x = 17,228.79