Finding the Third Proportional to 3,778.50 and 8,007

Step by Step Solution

1. Step 1: Write the proportion equation
   3,778.50 : 8,007 = 8,007 : x
2. Step 2: Convert to fraction form
   3,778.50/8,007 = 8,007/x
3. Step 3: Cross multiply
   3,778.50x = 8,007 × 8,007
4. Step 4: Simplify right side
   3,778.50x = 64,112,049
5. Step 5: Solve for x
   x = 64,112,049/3,778.50
6. Step 6: Final answer
   x = 16,967.59