Finding the Third Proportional to 4,002.75 and 8,410.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,002.75 : 8,410.50 = 8,410.50 : x
2. Step 2: Convert to fraction form
   4,002.75/8,410.50 = 8,410.50/x
3. Step 3: Cross multiply
   4,002.75x = 8,410.50 × 8,410.50
4. Step 4: Simplify right side
   4,002.75x = 70,736,510.25
5. Step 5: Solve for x
   x = 70,736,510.25/4,002.75
6. Step 6: Final answer
   x = 17,671.98