Finding the Third Proportional to 3,781 and 8,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,781 : 8,196.50 = 8,196.50 : x
2. Step 2: Convert to fraction form
   3,781/8,196.50 = 8,196.50/x
3. Step 3: Cross multiply
   3,781x = 8,196.50 × 8,196.50
4. Step 4: Simplify right side
   3,781x = 67,182,612.25
5. Step 5: Solve for x
   x = 67,182,612.25/3,781
6. Step 6: Final answer
   x = 17,768.48